122121021114400 has 288 divisors, whose sum is σ = 384508951102080. Its totient is φ = 36751153152000.

The previous prime is 122121021114331. The next prime is 122121021114409. The reversal of 122121021114400 is 4411120121221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (122121021114409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32394361 + ... + 35967160.

It is an arithmetic number, because the mean of its divisors is an integer number (1335100524660).

Almost surely, 2^{122121021114400} is an apocalyptic number.

122121021114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121021114400 is an abundant number, since it is smaller than the sum of its proper divisors (262387929987680).

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

122121021114400 is a wasteful number, since it uses less digits than its factorization.

122121021114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68361588 (or 68361575 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122121021114400 its reverse (4411120121221), we get a palindrome (126532141235621).

The spelling of 122121021114400 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty-one million, one hundred fourteen thousand, four hundred".