122904540 has 288 divisors, whose sum is σ = 447632640. Its totient is φ = 28226880.

The previous prime is 122904539. The next prime is 122904541. The reversal of 122904540 is 45409221.

122904540 is a `hidden beast` number, since 122 + 90 + 454 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122904539) and next prime (122904541).

It is a super-2 number, since 2×122904540² = 30211051905223200, 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 not an unprimeable number, because it can be changed into a prime (122904541) 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, 6468651 + ... + 6468669.

It is an arithmetic number, because the mean of its divisors is an integer number (1554280).

Almost surely, 2^122904540 is an apocalyptic number.

122904540 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 122904540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223816320).

122904540 is an abundant number, since it is smaller than the sum of its proper divisors (324728100).

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

122904540 is a wasteful number, since it uses less digits than its factorization.

122904540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122904540 is about 11086.2320019022. The cubic root of 122904540 is about 497.1902940126.

The spelling of 122904540 in words is "one hundred twenty-two million, nine hundred four thousand, five hundred forty".