122611520 has 42 divisors (see below), whose sum is σ = 292441122. Its totient is φ = 48965376.

The previous prime is 122611519. The next prime is 122611529. The reversal of 122611520 is 25116221.

It can be written as a sum of positive squares in only one way, i.e., 98089216 + 24522304 = 9904^2 + 4952^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122611492 and 122611501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122611529) 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, 197771 + ... + 198389.

Almost surely, 2^122611520 is an apocalyptic number.

122611520 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 122611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146220561).

122611520 is an abundant number, since it is smaller than the sum of its proper divisors (169829602).

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

122611520 is an frugal number, since it uses more digits than its factorization.

122611520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 122611520 is about 11073.0086245790. The cubic root of 122611520 is about 496.7948580315.

Multiplying 122611520 by its sum of digits (20), we get a square (2452230400 = 49520²).

122611520 divided by its sum of digits (20) gives a square (6130576 = 2476²).

Adding to 122611520 its reverse (25116221), we get a palindrome (147727741).

The spelling of 122611520 in words is "one hundred twenty-two million, six hundred eleven thousand, five hundred twenty".