83124004884120 has 320 divisors, whose sum is σ = 297125616664800. Its totient is φ = 20783254855680.

The previous prime is 83124004884061. The next prime is 83124004884181. The reversal of 83124004884120 is 2148840042138.

83124004884120 is a `hidden beast` number, since 8 + 3 + 1 + 2 + 40 + 0 + 488 + 4 + 120 = 666.

It is a super-2 number, since 2×83124004884120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 988951 + ... + 12931590.

Almost surely, 2^{83124004884120} 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 83124004884120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148562808332400).

83124004884120 is an abundant number, since it is smaller than the sum of its proper divisors (214001611780680).

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

83124004884120 is a wasteful number, since it uses less digits than its factorization.

83124004884120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13920680 (or 13920667 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 83124004884120 in words is "eighty-three trillion, one hundred twenty-four billion, four million, eight hundred eighty-four thousand, one hundred twenty".