123151864900 has 81 divisors (see below), whose sum is σ = 282197848989. Its totient is φ = 46642808160.

The previous prime is 123151864889. The next prime is 123151864903. The reversal of 123151864900 is 9468151321.

The square root of 123151864900 is 350930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44334671364 + 78817193536 = 210558^2 + 280744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123151864903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66675777 + ... + 66677623.

Almost surely, 2^123151864900 is an apocalyptic number.

123151864900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123151864900 is the 350930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123151864900

123151864900 is an abundant number, since it is smaller than the sum of its proper divisors (159045984089).

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

123151864900 is an equidigital number, since it uses as much as digits as its factorization.

123151864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 123151864900 in words is "one hundred twenty-three billion, one hundred fifty-one million, eight hundred sixty-four thousand, nine hundred".