122567280 has 160 divisors (see below), whose sum is σ = 439043328. Its totient is φ = 27955200.

The previous prime is 122567257. The next prime is 122567303. The reversal of 122567280 is 82765221.

It is an interprime number because it is at equal distance from previous prime (122567257) and next prime (122567303).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43515 + ... + 46245.

Almost surely, 2^122567280 is an apocalyptic number.

122567280 is a gapful number since it is divisible by the number (10) 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 122567280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219521664).

122567280 is an abundant number, since it is smaller than the sum of its proper divisors (316476048).

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

122567280 is a wasteful number, since it uses less digits than its factorization.

122567280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 122567280 is about 11071.0107939610. The cubic root of 122567280 is about 496.7351006004.

The spelling of 122567280 in words is "one hundred twenty-two million, five hundred sixty-seven thousand, two hundred eighty".