122660736 has 128 divisors (see below), whose sum is σ = 361324800. Its totient is φ = 36556800.

The previous prime is 122660717. The next prime is 122660737. The reversal of 122660736 is 637066221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 122660697 and 122660706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122660737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299700 + ... + 300108.

It is an arithmetic number, because the mean of its divisors is an integer number (2822850).

Almost surely, 2^122660736 is an apocalyptic number.

122660736 is a gapful number since it is divisible by the number (16) 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 122660736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180662400).

122660736 is an abundant number, since it is smaller than the sum of its proper divisors (238664064).

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

122660736 is a wasteful number, since it uses less digits than its factorization.

122660736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 122660736 is about 11075.2307425173. The cubic root of 122660736 is about 496.8613199351.

The spelling of 122660736 in words is "one hundred twenty-two million, six hundred sixty thousand, seven hundred thirty-six".