31002001122000 has 160 divisors (see below), whose sum is σ = 100473756125184. Its totient is φ = 8223916224000.

The previous prime is 31002001121941. The next prime is 31002001122089. The reversal of 31002001122000 is 22110020013.

It is a super-2 number, since 2×31002001122000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 12380179 + ... + 14672178.

Almost surely, 2^{31002001122000} is an apocalyptic number.

31002001122000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31002001122000 is an abundant number, since it is smaller than the sum of its proper divisors (69471755003184).

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

31002001122000 is a wasteful number, since it uses less digits than its factorization.

31002001122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27052574 (or 27052558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31002001122000 its reverse (22110020013), we get a palindrome (31024111142013).

The spelling of 31002001122000 in words is "thirty-one trillion, two billion, one million, one hundred twenty-two thousand".