351112120400 has 60 divisors (see below), whose sum is σ = 857375566044. Its totient is φ = 138142464000.

The previous prime is 351112120391. The next prime is 351112120477. The reversal of 351112120400 is 4021211153.

It can be written as a sum of positive squares in 6 ways, for example, as 15421665856 + 335690454544 = 124184^2 + 579388^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 7170521 + ... + 7219320.

Almost surely, 2^351112120400 is an apocalyptic number.

It is an amenable number.

351112120400 is an abundant number, since it is smaller than the sum of its proper divisors (506263445644).

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

351112120400 is a wasteful number, since it uses less digits than its factorization.

351112120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14389920 (or 14389909 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 351112120400 its reverse (4021211153), we get a palindrome (355133331553).

The spelling of 351112120400 in words is "three hundred fifty-one billion, one hundred twelve million, one hundred twenty thousand, four hundred".