122345032551400 has 48 divisors (see below), whose sum is σ = 284454992738700. Its totient is φ = 48937532666880.

The previous prime is 122345032551389. The next prime is 122345032551433. The reversal of 122345032551400 is 4155230543221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34255057139524 + 88089975411876 = 5852782^2 + 9385626^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122345032551400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17783424 + ... + 23684176.

Almost surely, 2^{122345032551400} is an apocalyptic number.

122345032551400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122345032551400 is an abundant number, since it is smaller than the sum of its proper divisors (162109960187300).

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

122345032551400 is a wasteful number, since it uses less digits than its factorization.

122345032551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004438 (or 6004429 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 122345032551400 in words is "one hundred twenty-two trillion, three hundred forty-five billion, thirty-two million, five hundred fifty-one thousand, four hundred".