2301200112000 has 1024 divisors, whose sum is σ = 8228960812800. Its totient is φ = 567705600000.

The previous prime is 2301200111941. The next prime is 2301200112019. The reversal of 2301200112000 is 2110021032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3481391670 + ... + 3481392330.

Almost surely, 2^{2301200112000} is an apocalyptic number.

2301200112000 is a gapful number since it is divisible by the number (20) 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 2301200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114480406400).

2301200112000 is an abundant number, since it is smaller than the sum of its proper divisors (5927760700800).

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

2301200112000 is a wasteful number, since it uses less digits than its factorization.

2301200112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2301200112000 its reverse (2110021032), we get a palindrome (2303310133032).

The spelling of 2301200112000 in words is "two trillion, three hundred one billion, two hundred million, one hundred twelve thousand".