1112732121600 has 1200 divisors, whose sum is σ = 4599201926880. Its totient is φ = 263363788800.

The previous prime is 1112732121593. The next prime is 1112732121601. The reversal of 1112732121600 is 61212372111.

1112732121600 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 7 + 32 + 1 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (1112732121601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 490405266 + ... + 490407534.

Almost surely, 2^{1112732121600} is an apocalyptic number.

1112732121600 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 1112732121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299600963440).

1112732121600 is an abundant number, since it is smaller than the sum of its proper divisors (3486469805280).

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

1112732121600 is a wasteful number, since it uses less digits than its factorization.

1112732121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 1112732121600 its reverse (61212372111), we get a palindrome (1173944493711).

It can be divided in two parts, 11127321 and 21600, that added together give a square (11148921 = 3339²).

The spelling of 1112732121600 in words is "one trillion, one hundred twelve billion, seven hundred thirty-two million, one hundred twenty-one thousand, six hundred".