122127264 has 240 divisors, whose sum is σ = 421521408. Its totient is φ = 33965568.

The previous prime is 122127253. The next prime is 122127283. The reversal of 122127264 is 462721221.

It is a super-2 number, since 2×122127264² = 29830137224251392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2688) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 961569 + ... + 961695.

Almost surely, 2^122127264 is an apocalyptic number.

122127264 is a gapful number since it is divisible by the number (14) 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 122127264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704).

122127264 is an abundant number, since it is smaller than the sum of its proper divisors (299394144).

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

122127264 is a wasteful number, since it uses less digits than its factorization.

122127264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 122127264 is about 11051.1204861770. The cubic root of 122127264 is about 496.1399622358.

Adding to 122127264 its reverse (462721221), we get a palindrome (584848485).

The spelling of 122127264 in words is "one hundred twenty-two million, one hundred twenty-seven thousand, two hundred sixty-four".