2156314241200 has 120 divisors (see below), whose sum is σ = 5921587253088. Its totient is φ = 739187312640.

The previous prime is 2156314241197. The next prime is 2156314241201. The reversal of 2156314241200 is 21424136512.

It is a super-3 number, since 3×2156314241200³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2156314241201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18064914 + ... + 18183886.

Almost surely, 2^{2156314241200} is an apocalyptic number.

2156314241200 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 2156314241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960793626544).

2156314241200 is an abundant number, since it is smaller than the sum of its proper divisors (3765273011888).

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

2156314241200 is a wasteful number, since it uses less digits than its factorization.

2156314241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125471 (or 125460 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 2156314241200 its reverse (21424136512), we get a palindrome (2177738377712).

The spelling of 2156314241200 in words is "two trillion, one hundred fifty-six billion, three hundred fourteen million, two hundred forty-one thousand, two hundred".