11292131203200 has 960 divisors, whose sum is σ = 42776434008000. Its totient is φ = 2931768483840.

The previous prime is 11292131203189. The next prime is 11292131203247. The reversal of 11292131203200 is 230213129211.

11292131203200 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 21 + 312 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×11292131203200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3889812949 + ... + 3889815851.

It is an arithmetic number, because the mean of its divisors is an integer number (44558785425).

Almost surely, 2^{11292131203200} is an apocalyptic number.

11292131203200 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 11292131203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21388217004000).

11292131203200 is an abundant number, since it is smaller than the sum of its proper divisors (31484302804800).

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

11292131203200 is a wasteful number, since it uses less digits than its factorization.

11292131203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11292131203200 in words is "eleven trillion, two hundred ninety-two billion, one hundred thirty-one million, two hundred three thousand, two hundred".