122077152 has 96 divisors (see below), whose sum is σ = 358192800. Its totient is φ = 40449024.

The previous prime is 122077139. The next prime is 122077159. The reversal of 122077152 is 251770221.

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

It is a super-2 number, since 2×122077152² = 29805662080862208, which contains 22 as substring.

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 (122077159) 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, 197548 + ... + 198164.

It is an arithmetic number, because the mean of its divisors is an integer number (3731175).

Almost surely, 2^122077152 is an apocalyptic number.

122077152 is a gapful number since it is divisible by the number (12) 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 122077152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179096400).

122077152 is an abundant number, since it is smaller than the sum of its proper divisors (236115648).

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

122077152 is a wasteful number, since it uses less digits than its factorization.

122077152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 122077152 is about 11048.8529721415. The cubic root of 122077152 is about 496.0720932322.

The spelling of 122077152 in words is "one hundred twenty-two million, seventy-seven thousand, one hundred fifty-two".