31424012120 has 128 divisors (see below), whose sum is σ = 73741207680. Its totient is φ = 12042240000.

The previous prime is 31424012119. The next prime is 31424012143. The reversal of 31424012120 is 2121042413.

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 = 31424012092 and 31424012101.

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, 46692104 + ... + 46692776.

It is an arithmetic number, because the mean of its divisors is an integer number (576103185).

Almost surely, 2^31424012120 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 31424012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36870603840).

31424012120 is an abundant number, since it is smaller than the sum of its proper divisors (42317195560).

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

31424012120 is a wasteful number, since it uses less digits than its factorization.

31424012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31424012120 its reverse (2121042413), we get a palindrome (33545054533).

The spelling of 31424012120 in words is "thirty-one billion, four hundred twenty-four million, twelve thousand, one hundred twenty".