120621644035200 has 8640 divisors, whose sum is σ = 636951065335200. Its totient is φ = 22348298649600.

The previous prime is 120621644035163. The next prime is 120621644035201. The reversal of 120621644035200 is 2530446126021.

120621644035200 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 2 + 1 + 6 + 440 + 3 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120621644035201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 6348507580791 + ... + 6348507580809.

Almost surely, 2^{120621644035200} is an apocalyptic number.

120621644035200 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 120621644035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318475532667600).

120621644035200 is an abundant number, since it is smaller than the sum of its proper divisors (516329421300000).

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

120621644035200 is an equidigital number, since it uses as much as digits as its factorization.

120621644035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 120621644035200 in words is "one hundred twenty trillion, six hundred twenty-one billion, six hundred forty-four million, thirty-five thousand, two hundred".