31200123112020 has 192 divisors, whose sum is σ = 99370973076480. Its totient is φ = 8124810624000.

The previous prime is 31200123112019. The next prime is 31200123112031. The reversal of 31200123112020 is 2021132100213.

31200123112020 is a `hidden beast` number, since 31 + 200 + 1 + 231 + 1 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31200123111984 and 31200123112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63205 + ... + 7899635.

It is an arithmetic number, because the mean of its divisors is an integer number (517557151440).

Almost surely, 2^{31200123112020} is an apocalyptic number.

31200123112020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200123112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49685486538240).

31200123112020 is an abundant number, since it is smaller than the sum of its proper divisors (68170849964460).

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

31200123112020 is a wasteful number, since it uses less digits than its factorization.

31200123112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836623 (or 7836615 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31200123112020 its reverse (2021132100213), we get a palindrome (33221255212233).

The spelling of 31200123112020 in words is "thirty-one trillion, two hundred billion, one hundred twenty-three million, one hundred twelve thousand, twenty".