31243120416000 has 504 divisors, whose sum is σ = 116692482949224. Its totient is φ = 8331492556800.

The previous prime is 31243120415993. The next prime is 31243120416007. The reversal of 31243120416000 is 61402134213.

It is a happy number.

31243120416000 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 3 + 12 + 0 + 41 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31243120415993) and next prime (31243120416007).

It can be written as a sum of positive squares in 4 ways, for example, as 336103105536 + 30907017310464 = 579744^2 + 5559408^2 .

It is a super-2 number, since 2×31243120416000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31243120416007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22658352 + ... + 23997648.

Almost surely, 2^{31243120416000} is an apocalyptic number.

31243120416000 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 31243120416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58346241474612).

31243120416000 is an abundant number, since it is smaller than the sum of its proper divisors (85449362533224).

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

31243120416000 is an frugal number, since it uses more digits than its factorization.

31243120416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339346 (or 1339307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 31243120416000 in words is "thirty-one trillion, two hundred forty-three billion, one hundred twenty million, four hundred sixteen thousand".