82122988374000 has 3200 divisors, whose sum is σ = 380798927308800. Its totient is φ = 16606251417600.

The previous prime is 82122988373969. The next prime is 82122988374041. The reversal of 82122988374000 is 47388922128.

82122988374000 is a `hidden beast` number, since 8 + 2 + 1 + 229 + 8 + 8 + 3 + 7 + 400 + 0 = 666.

It is a super-2 number, since 2×82122988374000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 50913197194 + ... + 50913198806.

It is an arithmetic number, because the mean of its divisors is an integer number (118999664784).

Almost surely, 2^{82122988374000} is an apocalyptic number.

82122988374000 is a gapful number since it is divisible by the number (80) 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 82122988374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190399463654400).

82122988374000 is an abundant number, since it is smaller than the sum of its proper divisors (298675938934800).

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

82122988374000 is a wasteful number, since it uses less digits than its factorization.

82122988374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 82122988374000 in words is "eighty-two trillion, one hundred twenty-two billion, nine hundred eighty-eight million, three hundred seventy-four thousand".