122112001101000 has 128 divisors (see below), whose sum is σ = 389095602255360. Its totient is φ = 31870366208000.

The previous prime is 122112001100951. The next prime is 122112001101007. The reversal of 122112001101000 is 101100211221.

It is a super-2 number, since 2×122112001101000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122112001101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432880281 + ... + 433162280.

It is an arithmetic number, because the mean of its divisors is an integer number (3039809392620).

Almost surely, 2^{122112001101000} is an apocalyptic number.

122112001101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112001101000 is an abundant number, since it is smaller than the sum of its proper divisors (266983601154360).

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

122112001101000 is a wasteful number, since it uses less digits than its factorization.

122112001101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866042632 (or 866042618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122112001101000 its reverse (101100211221), we get a palindrome (122213101312221).

The spelling of 122112001101000 in words is "one hundred twenty-two trillion, one hundred twelve billion, one million, one hundred one thousand".