120982101086952 has 256 divisors, whose sum is σ = 391357386432000. Its totient is φ = 33910599849984.

The previous prime is 120982101086927. The next prime is 120982101087049. The reversal of 120982101086952 is 259680101289021.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826369374 + ... + 826515762.

It is an arithmetic number, because the mean of its divisors is an integer number (1528739790750).

Almost surely, 2^{120982101086952} is an apocalyptic number.

120982101086952 is a gapful number since it is divisible by the number (12) 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 120982101086952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195678693216000).

120982101086952 is an abundant number, since it is smaller than the sum of its proper divisors (270375285345048).

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

120982101086952 is a wasteful number, since it uses less digits than its factorization.

120982101086952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156777 (or 156767 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 120982101086952 in words is "one hundred twenty trillion, nine hundred eighty-two billion, one hundred one million, eighty-six thousand, nine hundred fifty-two".