612981120 has 256 divisors, whose sum is σ = 2059992000. Its totient is φ = 154828800.

The previous prime is 612981107. The next prime is 612981139. The reversal of 612981120 is 21189216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 5623626 + ... + 5623734.

Almost surely, 2^612981120 is an apocalyptic number.

612981120 is a gapful number since it is divisible by the number (60) 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 612981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029996000).

612981120 is an abundant number, since it is smaller than the sum of its proper divisors (1447010880).

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

612981120 is a wasteful number, since it uses less digits than its factorization.

612981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 612981120 is about 24758.4555253352. The cubic root of 612981120 is about 849.4719303624.

The spelling of 612981120 in words is "six hundred twelve million, nine hundred eighty-one thousand, one hundred twenty".