22122211012000 has 96 divisors (see below), whose sum is σ = 59295570070464. Its totient is φ = 8044440352000.

The previous prime is 22122211011991. The next prime is 22122211012009. The reversal of 22122211012000 is 21011222122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22122211011991) and next prime (22122211012009).

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

It is not an unprimeable number, because it can be changed into a prime (22122211012009) 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, 251344762 + ... + 251432761.

It is an arithmetic number, because the mean of its divisors is an integer number (617662188234).

Almost surely, 2^{22122211012000} is an apocalyptic number.

22122211012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122211012000 is an abundant number, since it is smaller than the sum of its proper divisors (37173359058464).

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

22122211012000 is a wasteful number, since it uses less digits than its factorization.

22122211012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502777559 (or 502777541 counting only the distinct ones).

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

Adding to 22122211012000 its reverse (21011222122), we get a palindrome (22143222234122).

The spelling of 22122211012000 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred eleven million, twelve thousand".