11812714200 has 864 divisors, whose sum is σ = 49747932000. Its totient is φ = 2509678080.

The previous prime is 11812714183. The next prime is 11812714211. The reversal of 11812714200 is 241721811.

11812714200 is a `hidden beast` number, since 118 + 127 + 1 + 420 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 222881374 + ... + 222881426.

It is an arithmetic number, because the mean of its divisors is an integer number (57578625).

Almost surely, 2^11812714200 is an apocalyptic number.

11812714200 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 11812714200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24873966000).

11812714200 is an abundant number, since it is smaller than the sum of its proper divisors (37935217800).

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

11812714200 is a wasteful number, since it uses less digits than its factorization.

11812714200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 89 counting only the distinct ones).

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

The spelling of 11812714200 in words is "eleven billion, eight hundred twelve million, seven hundred fourteen thousand, two hundred".