11412201600 has 288 divisors, whose sum is σ = 41592695040. Its totient is φ = 2978150400.

The previous prime is 11412201551. The next prime is 11412201601. The reversal of 11412201600 is 610221411.

11412201600 is a `hidden beast` number, since 1 + 1 + 41 + 2 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11412201601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1349385 + ... + 1357815.

It is an arithmetic number, because the mean of its divisors is an integer number (144419080).

Almost surely, 2^11412201600 is an apocalyptic number.

11412201600 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 11412201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20796347520).

11412201600 is an abundant number, since it is smaller than the sum of its proper divisors (30180493440).

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

11412201600 is a wasteful number, since it uses less digits than its factorization.

11412201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8508 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 11412201600 in words is "eleven billion, four hundred twelve million, two hundred one thousand, six hundred".