122121120112000 has 64 divisors (see below), whose sum is σ = 303623634918240. Its totient is φ = 48848448038400.

The previous prime is 122121120111979. The next prime is 122121120112001. The reversal of 122121120112000 is 211021121221.

It is a tau number, because it is divible by the number of its divisors (64).

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 (122121120112001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3816269004 + ... + 3816301003.

Almost surely, 2^{122121120112000} is an apocalyptic number.

122121120112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121120112000 is an abundant number, since it is smaller than the sum of its proper divisors (181502514806240).

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

122121120112000 is an frugal number, since it uses more digits than its factorization.

122121120112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632570036 (or 7632570014 counting only the distinct ones).

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

Adding to 122121120112000 its reverse (211021121221), we get a palindrome (122332141233221).

The spelling of 122121120112000 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand".