120145078656000 has 4928 divisors, whose sum is σ = 515670699997440. Its totient is φ = 27748152115200.

The previous prime is 120145078655941. The next prime is 120145078656041. The reversal of 120145078656000 is 656870541021.

120145078656000 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 5 + 0 + 7 + 86 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1349944703956 + ... + 1349944704044.

Almost surely, 2^{120145078656000} is an apocalyptic number.

120145078656000 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 120145078656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257835349998720).

120145078656000 is an abundant number, since it is smaller than the sum of its proper divisors (395525621341440).

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

120145078656000 is an equidigital number, since it uses as much as digits as its factorization.

120145078656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 120145078656000 in words is "one hundred twenty trillion, one hundred forty-five billion, seventy-eight million, six hundred fifty-six thousand".