120193239785472 has 1792 divisors, whose sum is σ = 450635778432000. Its totient is φ = 31518684610560.

The previous prime is 120193239785467. The next prime is 120193239785491. The reversal of 120193239785472 is 274587932391021.

It is a happy number.

120193239785472 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 93 + 2 + 3 + 9 + 78 + 5 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52878678928 + ... + 52878681200.

It is an arithmetic number, because the mean of its divisors is an integer number (251470858500).

Almost surely, 2^{120193239785472} is an apocalyptic number.

120193239785472 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 120193239785472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225317889216000).

120193239785472 is an abundant number, since it is smaller than the sum of its proper divisors (330442538646528).

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

120193239785472 is an equidigital number, since it uses as much as digits as its factorization.

120193239785472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 120193239785472 in words is "one hundred twenty trillion, one hundred ninety-three billion, two hundred thirty-nine million, seven hundred eighty-five thousand, four hundred seventy-two".