123490870272 has 1408 divisors, whose sum is σ = 498040012800. Its totient is φ = 29262643200.

The previous prime is 123490870231. The next prime is 123490870273. The reversal of 123490870272 is 272078094321.

123490870272 is a `hidden beast` number, since 1 + 23 + 490 + 8 + 70 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is not an unprimeable number, because it can be changed into a prime (123490870273) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1739307997 + ... + 1739308067.

It is an arithmetic number, because the mean of its divisors is an integer number (353721600).

Almost surely, 2^123490870272 is an apocalyptic number.

123490870272 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 123490870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249020006400).

123490870272 is an abundant number, since it is smaller than the sum of its proper divisors (374549142528).

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

123490870272 is a wasteful number, since it uses less digits than its factorization.

123490870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 123490870272 in words is "one hundred twenty-three billion, four hundred ninety million, eight hundred seventy thousand, two hundred seventy-two".