120957402042 has 48 divisors (see below), whose sum is σ = 271581958440. Its totient is φ = 38861254656.

The previous prime is 120957402023. The next prime is 120957402047. The reversal of 120957402042 is 240204759021.

120957402042 is a `hidden beast` number, since 1 + 20 + 9 + 574 + 0 + 20 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115322047281 + 5635354761 = 339591^2 + 75069^2 .

It is a super-3 number, since 3×120957402042³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120957401988 and 120957402006.

It is not an unprimeable number, because it can be changed into a prime (120957402047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100398 + ... + 501990.

Almost surely, 2^120957402042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120957402042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135790979220).

120957402042 is an abundant number, since it is smaller than the sum of its proper divisors (150624556398).

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

120957402042 is a wasteful number, since it uses less digits than its factorization.

120957402042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402207 (or 402204 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 120957402042 in words is "one hundred twenty billion, nine hundred fifty-seven million, four hundred two thousand, forty-two".