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212022101201220 = 2233523857151113183
BaseRepresentation
bin110000001101010100111110…
…000001101101000101000100
31000210201010002210000111211000
4300031110332001231011010
5210242232230401414340
62030533335245013300
762442043214413152
oct6015247601550504
91023633083014730
10212022101201220
11616140827a5802
121b943378854230
13913c7a1774c0b
143a4dcd29a83d2
15197a2ac42dd30
hexc0d53e06d144

212022101201220 has 384 divisors, whose sum is σ = 689615154708480. Its totient is φ = 53978050114560.

The previous prime is 212022101201219. The next prime is 212022101201227. The reversal of 212022101201220 is 22102101220212.

It is a happy number.

212022101201220 is a `hidden beast` number, since 2 + 1 + 20 + 221 + 0 + 1 + 201 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212022101201193 and 212022101201202.

It is not an unprimeable number, because it can be changed into a prime (212022101201227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16082986749 + ... + 16082999931.

It is an arithmetic number, because the mean of its divisors is an integer number (1795872798720).

Almost surely, 2212022101201220 is an apocalyptic number.

212022101201220 is a gapful number since it is divisible by the number (20) 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 212022101201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344807577354240).

212022101201220 is an abundant number, since it is smaller than the sum of its proper divisors (477593053507260).

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

212022101201220 is a wasteful number, since it uses less digits than its factorization.

212022101201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15592 (or 15584 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212022101201220 its reverse (22102101220212), we get a palindrome (234124202421432).

The spelling of 212022101201220 in words is "two hundred twelve trillion, twenty-two billion, one hundred one million, two hundred one thousand, two hundred twenty".