120041792640000 has 8800 divisors, whose sum is σ = 621743035541760. Its totient is φ = 22295347200000.

The previous prime is 120041792639999. The next prime is 120041792640031. The reversal of 120041792640000 is 46297140021.

It is a happy number.

120041792640000 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 4 + 1 + 7 + 9 + 2 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 1967898239970 + ... + 1967898240030.

Almost surely, 2^{120041792640000} is an apocalyptic number.

120041792640000 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 120041792640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310871517770880).

120041792640000 is an abundant number, since it is smaller than the sum of its proper divisors (501701242901760).

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

120041792640000 is a wasteful number, since it uses less digits than its factorization.

120041792640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 120041792640000 in words is "one hundred twenty trillion, forty-one billion, seven hundred ninety-two million, six hundred forty thousand".