31420024223120 has 160 divisors (see below), whose sum is σ = 78885441008640. Its totient is φ = 11569617100800.

The previous prime is 31420024223099. The next prime is 31420024223129. The reversal of 31420024223120 is 2132242002413.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 31420024223120.

It is not an unprimeable number, because it can be changed into a prime (31420024223129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3152400377 + ... + 3152410343.

It is an arithmetic number, because the mean of its divisors is an integer number (493034006304).

Almost surely, 2^{31420024223120} 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 31420024223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39442720504320).

31420024223120 is an abundant number, since it is smaller than the sum of its proper divisors (47465416785520).

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

31420024223120 is a wasteful number, since it uses less digits than its factorization.

31420024223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17953 (or 17947 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 31420024223120 its reverse (2132242002413), we get a palindrome (33552266225533).

The spelling of 31420024223120 in words is "thirty-one trillion, four hundred twenty billion, twenty-four million, two hundred twenty-three thousand, one hundred twenty".