120990672 has 280 divisors, whose sum is σ = 409848768. Its totient is φ = 34214400.

The previous prime is 120990671. The next prime is 120990731. The reversal of 120990672 is 276099021.

It is a super-3 number, since 3×120990672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120990671) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2950972 + ... + 2951012.

Almost surely, 2^120990672 is an apocalyptic number.

120990672 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 120990672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204924384).

120990672 is an abundant number, since it is smaller than the sum of its proper divisors (288858096).

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

120990672 is a wasteful number, since it uses less digits than its factorization.

120990672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 120990672 is about 10999.5759918280. The cubic root of 120990672 is about 494.5960340523.

The spelling of 120990672 in words is "one hundred twenty million, nine hundred ninety thousand, six hundred seventy-two".