31030000121120 has 384 divisors, whose sum is σ = 98444927024640. Its totient is φ = 8926179655680.

The previous prime is 31030000121111. The next prime is 31030000121149. The reversal of 31030000121120 is 2112100003013.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 31030000121095 and 31030000121104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205831774 + ... + 1205857506.

It is an arithmetic number, because the mean of its divisors is an integer number (256366997460).

Almost surely, 2^{31030000121120} 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 31030000121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49222463512320).

31030000121120 is an abundant number, since it is smaller than the sum of its proper divisors (67414926903520).

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

31030000121120 is a wasteful number, since it uses less digits than its factorization.

31030000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33308 (or 33300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31030000121120 its reverse (2112100003013), we get a palindrome (33142100124133).

The spelling of 31030000121120 in words is "thirty-one trillion, thirty billion, one hundred twenty-one thousand, one hundred twenty".