112002001200 has 180 divisors, whose sum is σ = 388832331888. Its totient is φ = 29855347200.

The previous prime is 112002001141. The next prime is 112002001201. The reversal of 112002001200 is 2100200211.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112002001201) 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, 12692790 + ... + 12701610.

Almost surely, 2^112002001200 is an apocalyptic number.

112002001200 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 112002001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194416165944).

112002001200 is an abundant number, since it is smaller than the sum of its proper divisors (276830330688).

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

112002001200 is a wasteful number, since it uses less digits than its factorization.

112002001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12372 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112002001200 its reverse (2100200211), we get a palindrome (114102201411).

The spelling of 112002001200 in words is "one hundred twelve billion, two million, one thousand, two hundred".