11902052131200 has 3456 divisors, whose sum is σ = 58635282101760. Its totient is φ = 2325484339200.

The previous prime is 11902052131181. The next prime is 11902052131259. The reversal of 11902052131200 is 213125020911.

11902052131200 is a `hidden beast` number, since 1 + 1 + 90 + 2 + 0 + 521 + 31 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11196661869 + ... + 11196662931.

It is an arithmetic number, because the mean of its divisors is an integer number (16966227460).

Almost surely, 2^{11902052131200} is an apocalyptic number.

11902052131200 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 11902052131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29317641050880).

11902052131200 is an abundant number, since it is smaller than the sum of its proper divisors (46733229970560).

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

11902052131200 is a wasteful number, since it uses less digits than its factorization.

11902052131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11902052131200 in words is "eleven trillion, nine hundred two billion, fifty-two million, one hundred thirty-one thousand, two hundred".