122667552 has 144 divisors (see below), whose sum is σ = 404756352. Its totient is φ = 34513920.

The previous prime is 122667551. The next prime is 122667557. The reversal of 122667552 is 255766221.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (122667551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142708 + ... + 143564.

It is an arithmetic number, because the mean of its divisors is an integer number (2810808).

Almost surely, 2^122667552 is an apocalyptic number.

122667552 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 122667552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202378176).

122667552 is an abundant number, since it is smaller than the sum of its proper divisors (282088800).

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

122667552 is a wasteful number, since it uses less digits than its factorization.

122667552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 122667552 is about 11075.5384519219. The cubic root of 122667552 is about 496.8705229453.

The spelling of 122667552 in words is "one hundred twenty-two million, six hundred sixty-seven thousand, five hundred fifty-two".