31120200000120 has 512 divisors, whose sum is σ = 118144438272000. Its totient is φ = 6369870274560.

The previous prime is 31120200000107. The next prime is 31120200000121. The reversal of 31120200000120 is 2100000202113.

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

It is a junction number, because it is equal to n+sod(n) for n = 31120200000096 and 31120200000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120200000121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 316023451 + ... + 316121909.

It is an arithmetic number, because the mean of its divisors is an integer number (230750856000).

Almost surely, 2^{31120200000120} is an apocalyptic number.

31120200000120 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 31120200000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59072219136000).

31120200000120 is an abundant number, since it is smaller than the sum of its proper divisors (87024238271880).

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

31120200000120 is a wasteful number, since it uses less digits than its factorization.

31120200000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99003 (or 98999 counting only the distinct ones).

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

Adding to 31120200000120 its reverse (2100000202113), we get a palindrome (33220200202233).

The spelling of 31120200000120 in words is "thirty-one trillion, one hundred twenty billion, two hundred million, one hundred twenty", and thus it is an aban number.