11712428100 has 216 divisors, whose sum is σ = 37250740800. Its totient is φ = 3077879040.

The previous prime is 11712428087. The next prime is 11712428111. The reversal of 11712428100 is 182421711.

It is a super-2 number, since 2×11712428100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22394439 + ... + 22394961.

Almost surely, 2^11712428100 is an apocalyptic number.

11712428100 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 11712428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625370400).

11712428100 is an abundant number, since it is smaller than the sum of its proper divisors (25538312700).

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

11712428100 is a wasteful number, since it uses less digits than its factorization.

11712428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 11712428100 its reverse (182421711), we get a palindrome (11894849811).

The spelling of 11712428100 in words is "eleven billion, seven hundred twelve million, four hundred twenty-eight thousand, one hundred".