120981683961600 has 2592 divisors, whose sum is σ = 538538324841216. Its totient is φ = 23569485004800.

The previous prime is 120981683961569. The next prime is 120981683961601. The reversal of 120981683961600 is 6169386189021.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120981683961601) 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 287 ways as a sum of consecutive naturals, for example, 51547371627 + ... + 51547373973.

It is an arithmetic number, because the mean of its divisors is an integer number (207769415448).

Almost surely, 2^{120981683961600} is an apocalyptic number.

120981683961600 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 120981683961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269269162420608).

120981683961600 is an abundant number, since it is smaller than the sum of its proper divisors (417556640879616).

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

120981683961600 is a wasteful number, since it uses less digits than its factorization.

120981683961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The spelling of 120981683961600 in words is "one hundred twenty trillion, nine hundred eighty-one billion, six hundred eighty-three million, nine hundred sixty-one thousand, six hundred".