122106960 has 80 divisors (see below), whose sum is σ = 420598080. Its totient is φ = 32561280.

The previous prime is 122106953. The next prime is 122106961. The reversal of 122106960 is 69601221.

It is a tau number, because it is divible by the number of its divisors (80).

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 (122106961) 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, 26106 + ... + 30425.

It is an arithmetic number, because the mean of its divisors is an integer number (5257476).

Almost surely, 2^122106960 is an apocalyptic number.

122106960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122106960 is an abundant number, since it is smaller than the sum of its proper divisors (298491120).

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

122106960 is a wasteful number, since it uses less digits than its factorization.

122106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56553 (or 56541 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 122106960 is about 11050.2018081119. The cubic root of 122106960 is about 496.1124658254.

The spelling of 122106960 in words is "one hundred twenty-two million, one hundred six thousand, nine hundred sixty".