120100672 has 56 divisors (see below), whose sum is σ = 252476000. Its totient is φ = 56526336.

The previous prime is 120100667. The next prime is 120100681. The reversal of 120100672 is 276001021.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343954 + ... + 344302.

It is an arithmetic number, because the mean of its divisors is an integer number (4508500).

Almost surely, 2^120100672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126238000).

120100672 is an abundant number, since it is smaller than the sum of its proper divisors (132375328).

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

120100672 is a wasteful number, since it uses less digits than its factorization.

120100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 120100672 is about 10959.0452138861. The cubic root of 120100672 is about 493.3803088131.

Adding to 120100672 its reverse (276001021), we get a palindrome (396101693).

The spelling of 120100672 in words is "one hundred twenty million, one hundred thousand, six hundred seventy-two".