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20021001222112 = 2511434993264919
BaseRepresentation
bin1001000110101100000001…
…01010100111011111100000
32121212222200222222010102221
410203112000222213133200
510111011002303101422
6110325304311120424
74134320034326452
oct443260052473740
977788628863387
1020021001222112
11641994a275050
1222b4254973114
13b22c84235b97
144d30434cc2d2
1524abd39753c7
hex123580aa77e0

20021001222112 has 96 divisors (see below), whose sum is σ = 44008620606720. Its totient is φ = 8887002808320.

The previous prime is 20021001222107. The next prime is 20021001222119. The reversal of 20021001222112 is 21122210012002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021001222119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75441589 + ... + 75706507.

It is an arithmetic number, because the mean of its divisors is an integer number (458423131320).

Almost surely, 220021001222112 is an apocalyptic number.

20021001222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021001222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22004310303360).

20021001222112 is an abundant number, since it is smaller than the sum of its proper divisors (23987619384608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20021001222112 is a wasteful number, since it uses less digits than its factorization.

20021001222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269976 (or 269968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20021001222112 its reverse (21122210012002), we get a palindrome (41143211234114).

The spelling of 20021001222112 in words is "twenty trillion, twenty-one billion, one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 4993 7568 9986 15136 19972 39944 54923 79888 109846 159776 214699 219692 264919 429398 439384 529838 858796 878768 1059676 1717592 1757536 2119352 2361689 2914109 3435184 4238704 4723378 5828218 6870368 8477408 9446756 11391517 11656436 18893512 22783034 23312872 37787024 45566068 46625744 75574048 91132136 93251488 125306687 182264272 250613374 364528544 501226748 1002453496 1322740567 2004906992 2645481134 4009813984 5290962268 10581924536 14550146237 21163849072 29100292474 42327698144 56877844381 58200584948 113755688762 116401169896 227511377524 232802339792 455022755048 465604679584 625656288191 910045510096 1251312576382 1820091020192 2502625152764 5005250305528 10010500611056 20021001222112