2123120637360 has 640 divisors, whose sum is σ = 7761103257600. Its totient is φ = 531984568320.

The previous prime is 2123120637359. The next prime is 2123120637377. The reversal of 2123120637360 is 637360213212.

2123120637360 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 12 + 0 + 637 + 3 + 6 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 4605467530 + ... + 4605467990.

It is an arithmetic number, because the mean of its divisors is an integer number (12126723840).

Almost surely, 2^{2123120637360} is an apocalyptic number.

2123120637360 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 2123120637360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880551628800).

2123120637360 is an abundant number, since it is smaller than the sum of its proper divisors (5637982620240).

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

2123120637360 is a wasteful number, since it uses less digits than its factorization.

2123120637360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 2123120637360 in words is "two trillion, one hundred twenty-three billion, one hundred twenty million, six hundred thirty-seven thousand, three hundred sixty".