2121161515200 has 1680 divisors, whose sum is σ = 9857513009344. Its totient is φ = 435356467200.

The previous prime is 2121161515181. The next prime is 2121161515271. The reversal of 2121161515200 is 25151611212.

It is a happy number.

2121161515200 is a `hidden beast` number, since 2 + 1 + 2 + 11 + 615 + 15 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 436360770 + ... + 436365630.

Almost surely, 2^{2121161515200} is an apocalyptic number.

2121161515200 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 2121161515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928756504672).

2121161515200 is an abundant number, since it is smaller than the sum of its proper divisors (7736351494144).

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

2121161515200 is a wasteful number, since it uses less digits than its factorization.

2121161515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 2121161515200 in words is "two trillion, one hundred twenty-one billion, one hundred sixty-one million, five hundred fifteen thousand, two hundred".