122536260 has 288 divisors, whose sum is σ = 484928640. Its totient is φ = 25401600.

The previous prime is 122536247. The next prime is 122536291. The reversal of 122536260 is 62635221.

122536260 is a `hidden beast` number, since 12 + 25 + 3 + 626 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 290850 + ... + 291270.

It is an arithmetic number, because the mean of its divisors is an integer number (1683780).

Almost surely, 2^122536260 is an apocalyptic number.

122536260 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 122536260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242464320).

122536260 is an abundant number, since it is smaller than the sum of its proper divisors (362392380).

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

122536260 is a wasteful number, since it uses less digits than its factorization.

122536260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 122536260 is about 11069.6097492188. The cubic root of 122536260 is about 496.6931915827.

The spelling of 122536260 in words is "one hundred twenty-two million, five hundred thirty-six thousand, two hundred sixty".