22125034031004 has 240 divisors, whose sum is σ = 63553719398400. Its totient is φ = 6680632235904.

The previous prime is 22125034030997. The next prime is 22125034031057. The reversal of 22125034031004 is 40013043052122.

22125034031004 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 5 + 0 + 340 + 310 + 0 + 4 = 666.

It is a super-3 number, since 3×22125034031004³ (a number of 41 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 407604714 + ... + 407658990.

It is an arithmetic number, because the mean of its divisors is an integer number (264807164160).

Almost surely, 2^{22125034031004} 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 22125034031004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31776859699200).

22125034031004 is an abundant number, since it is smaller than the sum of its proper divisors (41428685367396).

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

22125034031004 is a wasteful number, since it uses less digits than its factorization.

22125034031004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57214 (or 57203 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22125034031004 its reverse (40013043052122), we get a palindrome (62138077083126).

The spelling of 22125034031004 in words is "twenty-two trillion, one hundred twenty-five billion, thirty-four million, thirty-one thousand, four".