31200041312120 has 128 divisors (see below), whose sum is σ = 74642711457600. Its totient is φ = 11703564288000.

The previous prime is 31200041312017. The next prime is 31200041312147. The reversal of 31200041312120 is 2121314000213.

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

It is a junction number, because it is equal to n+sod(n) for n = 31200041312092 and 31200041312101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373088552 + ... + 373172168.

Almost surely, 2^{31200041312120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200041312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37321355728800).

31200041312120 is an abundant number, since it is smaller than the sum of its proper divisors (43442670145480).

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

31200041312120 is a wasteful number, since it uses less digits than its factorization.

31200041312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88609 (or 88605 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31200041312120 its reverse (2121314000213), we get a palindrome (33321355312333).

The spelling of 31200041312120 in words is "thirty-one trillion, two hundred billion, forty-one million, three hundred twelve thousand, one hundred twenty".