122112111202000 has 40 divisors (see below), whose sum is σ = 295267084891272. Its totient is φ = 48844844480000.

The previous prime is 122112111201911. The next prime is 122112111202001. The reversal of 122112111202000 is 202111211221.

It can be written as a sum of positive squares in 4 ways, for example, as 25131291924544 + 96980819277456 = 5013112^2 + 9847884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×122112111202000² (a number of 29 digits) contains 22 as substring.

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 (122112111202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30528025801 + ... + 30528029800.

Almost surely, 2^{122112111202000} is an apocalyptic number.

122112111202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112111202000 is an abundant number, since it is smaller than the sum of its proper divisors (173154973689272).

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

122112111202000 is an equidigital number, since it uses as much as digits as its factorization.

122112111202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61056055624 (or 61056055608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122112111202000 its reverse (202111211221), we get a palindrome (122314222413221).

The spelling of 122112111202000 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred eleven million, two hundred two thousand".