201312021121200 has 360 divisors, whose sum is σ = 786702981881856. Its totient is φ = 47228626368000.

The previous prime is 201312021121151. The next prime is 201312021121219. The reversal of 201312021121200 is 2121120213102.

201312021121200 is a `hidden beast` number, since 20 + 1 + 312 + 0 + 211 + 2 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×201312021121200³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80766544 + ... + 83221743.

Almost surely, 2^{201312021121200} is an apocalyptic number.

201312021121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201312021121200 is an abundant number, since it is smaller than the sum of its proper divisors (585390960760656).

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

201312021121200 is a wasteful number, since it uses less digits than its factorization.

201312021121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163988353 (or 163988339 counting only the distinct ones).

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

Adding to 201312021121200 its reverse (2121120213102), we get a palindrome (203433141334302).

The spelling of 201312021121200 in words is "two hundred one trillion, three hundred twelve billion, twenty-one million, one hundred twenty-one thousand, two hundred".