122277672 has 96 divisors (see below), whose sum is σ = 367342560. Its totient is φ = 36432000.

The previous prime is 122277647. The next prime is 122277697. The reversal of 122277672 is 276772221.

It is an interprime number because it is at equal distance from previous prime (122277647) and next prime (122277697).

It is a super-3 number, since 3×122277672³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47047 + ... + 49577.

It is an arithmetic number, because the mean of its divisors is an integer number (3826485).

Almost surely, 2^122277672 is an apocalyptic number.

122277672 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 122277672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183671280).

122277672 is an abundant number, since it is smaller than the sum of its proper divisors (245064888).

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

122277672 is a wasteful number, since it uses less digits than its factorization.

122277672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2608 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 122277672 is about 11057.9234940381. The cubic root of 122277672 is about 496.3435553384.

The spelling of 122277672 in words is "one hundred twenty-two million, two hundred seventy-seven thousand, six hundred seventy-two".