123390540 has 384 divisors, whose sum is σ = 493731840. Its totient is φ = 25194240.

The previous prime is 123390529. The next prime is 123390551. The reversal of 123390540 is 45093321.

123390540 is a `hidden beast` number, since 1 + 2 + 33 + 90 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (123390529) and next prime (123390551).

It is a super-2 number, since 2×123390540² = 30450450722983200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3980325 + ... + 3980355.

It is an arithmetic number, because the mean of its divisors is an integer number (1285760).

Almost surely, 2^123390540 is an apocalyptic number.

123390540 is a gapful number since it is divisible by the number (10) 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 123390540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246865920).

123390540 is an abundant number, since it is smaller than the sum of its proper divisors (370341300).

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

123390540 is a wasteful number, since it uses less digits than its factorization.

123390540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 123390540 is about 11108.1294554934. The cubic root of 123390540 is about 497.8447767064.

The spelling of 123390540 in words is "one hundred twenty-three million, three hundred ninety thousand, five hundred forty".