122926160 has 160 divisors (see below), whose sum is σ = 345311232. Its totient is φ = 39813120.

The previous prime is 122926151. The next prime is 122926169. The reversal of 122926160 is 61629221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122926151) and next prime (122926169).

It is a super-2 number, since 2×122926160² = 30221681624691200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122926169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267232 + ... + 1267328.

Almost surely, 2^122926160 is an apocalyptic number.

122926160 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 122926160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172655616).

122926160 is an abundant number, since it is smaller than the sum of its proper divisors (222385072).

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

122926160 is a wasteful number, since it uses less digits than its factorization.

122926160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 122926160 is about 11087.2070423529. The cubic root of 122926160 is about 497.2194456993.

The spelling of 122926160 in words is "one hundred twenty-two million, nine hundred twenty-six thousand, one hundred sixty".