10402122232304 has 80 divisors (see below), whose sum is σ = 22247793192960. Its totient is φ = 4672331040000.

The previous prime is 10402122232301. The next prime is 10402122232361. The reversal of 10402122232304 is 40323222120401.

It is a super-2 number, since 2×10402122232304² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402122232301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4051382 + ... + 6100650.

It is an arithmetic number, because the mean of its divisors is an integer number (278097414912).

Almost surely, 2^{10402122232304} 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 10402122232304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11123896596480).

10402122232304 is an abundant number, since it is smaller than the sum of its proper divisors (11845670960656).

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

10402122232304 is a wasteful number, since it uses less digits than its factorization.

10402122232304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049630 (or 2049624 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10402122232304 its reverse (40323222120401), we get a palindrome (50725344352705).

The spelling of 10402122232304 in words is "ten trillion, four hundred two billion, one hundred twenty-two million, two hundred thirty-two thousand, three hundred four".