128124612 has 288 divisors, whose sum is σ = 441262080. Its totient is φ = 31752000.

The previous prime is 128124593. The next prime is 128124613. The reversal of 128124612 is 216421821.

128124612 is a `hidden beast` number, since 1 + 28 + 1 + 24 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (128124613) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1804537 + ... + 1804607.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 2^128124612 is an apocalyptic number.

128124612 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 128124612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

128124612 is an abundant number, since it is smaller than the sum of its proper divisors (313137468).

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

128124612 is a wasteful number, since it uses less digits than its factorization.

128124612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 128124612 is about 11319.2142836859. The cubic root of 128124612 is about 504.1319099172.

It can be divided in two parts, 12812 and 4612, that added together give a square (17424 = 132²).

The spelling of 128124612 in words is "one hundred twenty-eight million, one hundred twenty-four thousand, six hundred twelve".