Search a number
-
+
1021200120012 = 223671270149403
BaseRepresentation
bin11101101110001000100…
…01010011100011001100
310121121220012012002220010
432313010101103203030
5113212404212320022
62101044410353220
7133531201541052
oct16670421234314
93547805162803
101021200120012
113640a7932936
12145ab9a2b810
13753b64aa457
14375d7c901d2
151b86ca4350c
hexedc44538cc

1021200120012 has 24 divisors (see below), whose sum is σ = 2418364465216. Its totient is φ = 335319442128.

The previous prime is 1021200120001. The next prime is 1021200120019. The reversal of 1021200120012 is 2100210021201.

It is a super-2 number, since 2×10212001200122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

1021200120012 is a modest number, since divided by 120012 gives 10212 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1021200120012.

It is not an unprimeable number, because it can be changed into a prime (1021200120019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635073898 + ... + 635075505.

Almost surely, 21021200120012 is an apocalyptic number.

1021200120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021200120012 is an abundant number, since it is smaller than the sum of its proper divisors (1397164345204).

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

1021200120012 is a wasteful number, since it uses less digits than its factorization.

1021200120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270149477 (or 1270149475 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1021200120012 its reverse (2100210021201), we get a palindrome (3121410141213).

The spelling of 1021200120012 in words is "one trillion, twenty-one billion, two hundred million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 1270149403 2540298806 3810448209 5080597612 7620896418 15241792836 85100010001 170200020002 255300030003 340400040004 510600060006 1021200120012