120101972040 has 192 divisors, whose sum is σ = 396465030000. Its totient is φ = 31527124992.

The previous prime is 120101972027. The next prime is 120101972051. The reversal of 120101972040 is 40279101021.

It can be written as a sum of positive squares in 8 ways, for example, as 51419190564 + 68682781476 = 226758^2 + 262074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120101971995 and 120101972013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7328976 + ... + 7345344.

Almost surely, 2^120101972040 is an apocalyptic number.

120101972040 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 120101972040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198232515000).

120101972040 is an abundant number, since it is smaller than the sum of its proper divisors (276363057960).

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

120101972040 is a wasteful number, since it uses less digits than its factorization.

120101972040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16704 (or 16697 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 120101972040 in words is "one hundred twenty billion, one hundred one million, nine hundred seventy-two thousand, forty".