10022131200 has 240 divisors, whose sum is σ = 33245372160. Its totient is φ = 2661457920.

The previous prime is 10022131187. The next prime is 10022131279. The reversal of 10022131200 is 213122001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10022131200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13785237 + ... + 13785963.

It is an arithmetic number, because the mean of its divisors is an integer number (138522384).

Almost surely, 2^10022131200 is an apocalyptic number.

10022131200 is a gapful number since it is divisible by the number (10) 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 10022131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16622686080).

10022131200 is an abundant number, since it is smaller than the sum of its proper divisors (23223240960).

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

10022131200 is an equidigital number, since it uses as much as digits as its factorization.

10022131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10022131200 its reverse (213122001), we get a palindrome (10235253201).

The spelling of 10022131200 in words is "ten billion, twenty-two million, one hundred thirty-one thousand, two hundred".