122919456 has 96 divisors (see below), whose sum is σ = 360315648. Its totient is φ = 36368640.

The previous prime is 122919449. The next prime is 122919457. The reversal of 122919456 is 654919221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×122919456³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122919457) 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, 44055 + ... + 46761.

It is an arithmetic number, because the mean of its divisors is an integer number (3753288).

Almost surely, 2^122919456 is an apocalyptic number.

122919456 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 122919456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180157824).

122919456 is an abundant number, since it is smaller than the sum of its proper divisors (237396192).

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

122919456 is a wasteful number, since it uses less digits than its factorization.

122919456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2766 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 122919456 is about 11086.9047078073. The cubic root of 122919456 is about 497.2104066150.

The spelling of 122919456 in words is "one hundred twenty-two million, nine hundred nineteen thousand, four hundred fifty-six".