122311936 has 54 divisors (see below), whose sum is σ = 251641950. Its totient is φ = 59332608.

The previous prime is 122311933. The next prime is 122311939. The reversal of 122311936 is 639113221.

It is an interprime number because it is at equal distance from previous prime (122311933) and next prime (122311939).

It can be written as a sum of positive squares in 3 ways, for example, as 83174400 + 39137536 = 9120^2 + 6256^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122311933) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 350290 + ... + 350638.

Almost surely, 2^122311936 is an apocalyptic number.

122311936 is a gapful number since it is divisible by the number (16) 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 122311936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125820975).

122311936 is an abundant number, since it is smaller than the sum of its proper divisors (129330014).

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

122311936 is an frugal number, since it uses more digits than its factorization.

122311936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 388 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 122311936 is about 11059.4726818235. The cubic root of 122311936 is about 496.3899119273.

The spelling of 122311936 in words is "one hundred twenty-two million, three hundred eleven thousand, nine hundred thirty-six".