120694254385152 has 384 divisors, whose sum is σ = 389782914393600. Its totient is φ = 32421354405888.

The previous prime is 120694254385141. The next prime is 120694254385207. The reversal of 120694254385152 is 251583452496021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 120694254385092 and 120694254385101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696685999 + ... + 696859217.

It is an arithmetic number, because the mean of its divisors is an integer number (1015059672900).

Almost surely, 2^{120694254385152} is an apocalyptic number.

120694254385152 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 120694254385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194891457196800).

120694254385152 is an abundant number, since it is smaller than the sum of its proper divisors (269088660008448).

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

120694254385152 is a wasteful number, since it uses less digits than its factorization.

120694254385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174221 (or 174201 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 120694254385152 in words is "one hundred twenty trillion, six hundred ninety-four billion, two hundred fifty-four million, three hundred eighty-five thousand, one hundred fifty-two".