122113511434400 has 72 divisors (see below), whose sum is σ = 313799589290880. Its totient is φ = 46274593800960.

The previous prime is 122113511434399. The next prime is 122113511434403. The reversal of 122113511434400 is 4434115311221.

122113511434400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (122113511434403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4016876624 + ... + 4016907023.

It is an arithmetic number, because the mean of its divisors is an integer number (4358327629040).

Almost surely, 2^{122113511434400} is an apocalyptic number.

122113511434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122113511434400 is an abundant number, since it is smaller than the sum of its proper divisors (191686077856480).

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

122113511434400 is a wasteful number, since it uses less digits than its factorization.

122113511434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8033783686 (or 8033783673 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 122113511434400 its reverse (4434115311221), we get a palindrome (126547626745621).

The spelling of 122113511434400 in words is "one hundred twenty-two trillion, one hundred thirteen billion, five hundred eleven million, four hundred thirty-four thousand, four hundred".