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22100122121220 = 223251113266045431
BaseRepresentation
bin1010000011001100101011…
…11011011011010000000100
32220020202021111202002200200
411001212111323123100010
510344042022230334340
6115000353403410500
74440452425353003
oct501462573332004
986222244662620
1022100122121220
117050677874450
12258b19a223a30
13c44056745100
1456591a07ac3a
15284d1cb72330
hex141995edb404

22100122121220 has 216 divisors, whose sum is σ = 79189529694912. Its totient is φ = 4945481798400.

The previous prime is 22100122121213. The next prime is 22100122121263. The reversal of 22100122121220 is 2212122100122.

It is a happy number.

22100122121220 is a `hidden beast` number, since 2 + 210 + 0 + 1 + 221 + 212 + 20 = 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 = 22100122121193 and 22100122121202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32688096 + ... + 33357335.

It is an arithmetic number, because the mean of its divisors is an integer number (366618193032).

Almost surely, 222100122121220 is an apocalyptic number.

22100122121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100122121220 is an abundant number, since it is smaller than the sum of its proper divisors (57089407573692).

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

22100122121220 is a wasteful number, since it uses less digits than its factorization.

22100122121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66045483 (or 66045465 counting only the distinct ones).

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

Adding to 22100122121220 its reverse (2212122100122), we get a palindrome (24312244221342).

The spelling of 22100122121220 in words is "twenty-two trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".