120398290923456 has 1008 divisors, whose sum is σ = 449504524594944. Its totient is φ = 31279143886848.

The previous prime is 120398290923431. The next prime is 120398290923467. The reversal of 120398290923456 is 654329092893021.

120398290923456 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 9 + 8 + 2 + 90 + 92 + 3 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 120398290923393 and 120398290923402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1232618236 + ... + 1232715908.

It is an arithmetic number, because the mean of its divisors is an integer number (445937028368).

Almost surely, 2^{120398290923456} is an apocalyptic number.

120398290923456 is a gapful number since it is divisible by the number (16) 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 120398290923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224752262297472).

120398290923456 is an abundant number, since it is smaller than the sum of its proper divisors (329106233671488).

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

120398290923456 is an equidigital number, since it uses as much as digits as its factorization.

120398290923456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97800 (or 97765 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 120398290923456 in words is "one hundred twenty trillion, three hundred ninety-eight billion, two hundred ninety million, nine hundred twenty-three thousand, four hundred fifty-six".