122792736 has 144 divisors (see below), whose sum is σ = 366345504. Its totient is φ = 36009600.

The previous prime is 122792729. The next prime is 122792737. The reversal of 122792736 is 637297221.

Its product of digits (63504) is a multiple of the sum of its prime factors (108).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 122792694 and 122792703.

It is not an unprimeable number, because it can be changed into a prime (122792737) 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, 3961041 + ... + 3961071.

It is an arithmetic number, because the mean of its divisors is an integer number (2544066).

Almost surely, 2^122792736 is an apocalyptic number.

122792736 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 122792736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183172752).

122792736 is an abundant number, since it is smaller than the sum of its proper divisors (243552768).

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

122792736 is an equidigital number, since it uses as much as digits as its factorization.

122792736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 47 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 122792736 is about 11081.1883839234. The cubic root of 122792736 is about 497.0394866519.

The spelling of 122792736 in words is "one hundred twenty-two million, seven hundred ninety-two thousand, seven hundred thirty-six".