31121643700224 has 1152 divisors, whose sum is σ = 117871422963840. Its totient is φ = 7730658017280.

The previous prime is 31121643700223. The next prime is 31121643700229. The reversal of 31121643700224 is 42200734612113.

31121643700224 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 1 + 64 + 370 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31121643700223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5745177964 + ... + 5745183380.

It is an arithmetic number, because the mean of its divisors is an integer number (102318943545).

Almost surely, 2^{31121643700224} 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 31121643700224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58935711481920).

31121643700224 is an abundant number, since it is smaller than the sum of its proper divisors (86749779263616).

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

31121643700224 is a wasteful number, since it uses less digits than its factorization.

31121643700224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 31121643700224 in words is "thirty-one trillion, one hundred twenty-one billion, six hundred forty-three million, seven hundred thousand, two hundred twenty-four".