31200122123120 has 240 divisors, whose sum is σ = 77276017827840. Its totient is φ = 11712811880448.

The previous prime is 31200122123063. The next prime is 31200122123123. The reversal of 31200122123120 is 2132122100213.

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 = 31200122123092 and 31200122123101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200122123123) 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, 18761347409 + ... + 18761349071.

It is an arithmetic number, because the mean of its divisors is an integer number (321983407616).

Almost surely, 2^{31200122123120} 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 31200122123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38638008913920).

31200122123120 is an abundant number, since it is smaller than the sum of its proper divisors (46075895704720).

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

31200122123120 is a wasteful number, since it uses less digits than its factorization.

31200122123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3489 counting only the distinct ones).

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

Adding to 31200122123120 its reverse (2132122100213), we get a palindrome (33332244223333).

The spelling of 31200122123120 in words is "thirty-one trillion, two hundred billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".