7121734081200 has 180 divisors, whose sum is σ = 24717112861168. Its totient is φ = 1898920281600.

The previous prime is 7121734081177. The next prime is 7121734081261. The reversal of 7121734081200 is 21804371217.

7121734081200 is a `hidden beast` number, since 7 + 1 + 217 + 340 + 81 + 20 + 0 = 666.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34135602 + ... + 34343598.

Almost surely, 2^{7121734081200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7121734081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358556430584).

7121734081200 is an abundant number, since it is smaller than the sum of its proper divisors (17595378779968).

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

7121734081200 is a wasteful number, since it uses less digits than its factorization.

7121734081200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217532 (or 217518 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 7121734081200 in words is "seven trillion, one hundred twenty-one billion, seven hundred thirty-four million, eighty-one thousand, two hundred".