31134511201200 has 120 divisors (see below), whose sum is σ = 108800964643776. Its totient is φ = 7547760288000.

The previous prime is 31134511201141. The next prime is 31134511201223. The reversal of 31134511201200 is 210211543113.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179324346 + ... + 1179350745.

Almost surely, 2^{31134511201200} is an apocalyptic number.

31134511201200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31134511201200 is an abundant number, since it is smaller than the sum of its proper divisors (77666453442576).

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

31134511201200 is a wasteful number, since it uses less digits than its factorization.

31134511201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358675123 (or 2358675112 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 31134511201200 its reverse (210211543113), we get a palindrome (31344722744313).

The spelling of 31134511201200 in words is "thirty-one trillion, one hundred thirty-four billion, five hundred eleven million, two hundred one thousand, two hundred".