122677152 has 48 divisors (see below), whose sum is σ = 346802400. Its totient is φ = 37746432.

The previous prime is 122677141. The next prime is 122677153. The reversal of 122677152 is 251776221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122677152² = 30099367245662208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122677153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47902 + ... + 50397.

It is an arithmetic number, because the mean of its divisors is an integer number (7225050).

Almost surely, 2^122677152 is an apocalyptic number.

122677152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122677152 is an abundant number, since it is smaller than the sum of its proper divisors (224125248).

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

122677152 is a wasteful number, since it uses less digits than its factorization.

122677152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98325 (or 98317 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 122677152 is about 11075.9718309501. The cubic root of 122677152 is about 496.8834843534.

The spelling of 122677152 in words is "one hundred twenty-two million, six hundred seventy-seven thousand, one hundred fifty-two".