120664693888200 has 768 divisors, whose sum is σ = 518487500390400. Its totient is φ = 25058261606400.

The previous prime is 120664693888177. The next prime is 120664693888247. The reversal of 120664693888200 is 2888396466021.

120664693888200 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 6 + 46 + 9 + 388 + 8 + 200 = 666.

It is a super-2 number, since 2×120664693888200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 705527097 + ... + 705698103.

It is an arithmetic number, because the mean of its divisors is an integer number (675113932800).

Almost surely, 2^{120664693888200} is an apocalyptic number.

120664693888200 is a gapful number since it is divisible by the number (10) 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 120664693888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259243750195200).

120664693888200 is an abundant number, since it is smaller than the sum of its proper divisors (397822806502200).

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

120664693888200 is a wasteful number, since it uses less digits than its factorization.

120664693888200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172747 (or 172732 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 120664693888200 in words is "one hundred twenty trillion, six hundred sixty-four billion, six hundred ninety-three million, eight hundred eighty-eight thousand, two hundred".