120306972 has 24 divisors (see below), whose sum is σ = 281682576. Its totient is φ = 39964288.

The previous prime is 120306971. The next prime is 120307021. The reversal of 120306972 is 279603021.

It is a super-3 number, since 3×120306972³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120306971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13593 + ... + 20624.

It is an arithmetic number, because the mean of its divisors is an integer number (11736774).

Almost surely, 2^120306972 is an apocalyptic number.

120306972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120306972 is an abundant number, since it is smaller than the sum of its proper divisors (161375604).

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

120306972 is a wasteful number, since it uses less digits than its factorization.

120306972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34517 (or 34515 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 120306972 is about 10968.4534917189. The cubic root of 120306972 is about 493.6626445468.

Adding to 120306972 its reverse (279603021), we get a palindrome (399909993).

It can be divided in two parts, 120306 and 972, that added together give a triangular number (121278 = T₄₉₂).

The spelling of 120306972 in words is "one hundred twenty million, three hundred six thousand, nine hundred seventy-two".