120890327040 has 704 divisors, whose sum is σ = 499289829120. Its totient is φ = 27179089920.

The previous prime is 120890327023. The next prime is 120890327081. The reversal of 120890327040 is 40723098021.

120890327040 is a `hidden beast` number, since 1 + 208 + 90 + 327 + 0 + 40 = 666.

It is a super-2 number, since 2×120890327040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120890326986 and 120890327004.

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, 1981808610 + ... + 1981808670.

Almost surely, 2^120890327040 is an apocalyptic number.

120890327040 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 120890327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249644914560).

120890327040 is an abundant number, since it is smaller than the sum of its proper divisors (378399502080).

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

120890327040 is an frugal number, since it uses more digits than its factorization.

120890327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 120890327040 in words is "one hundred twenty billion, eight hundred ninety million, three hundred twenty-seven thousand, forty".