122611720 has 192 divisors, whose sum is σ = 360495360. Its totient is φ = 37403520.

The previous prime is 122611679. The next prime is 122611751. The reversal of 122611720 is 27116221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122611691 and 122611700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2608737 + ... + 2608783.

It is an arithmetic number, because the mean of its divisors is an integer number (1877580).

Almost surely, 2^122611720 is an apocalyptic number.

122611720 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 122611720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180247680).

122611720 is an abundant number, since it is smaller than the sum of its proper divisors (237883640).

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

122611720 is a wasteful number, since it uses less digits than its factorization.

122611720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 122611720 is about 11073.0176555445. The cubic root of 122611720 is about 496.7951281500.

Adding to 122611720 its reverse (27116221), we get a palindrome (149727941).

The spelling of 122611720 in words is "one hundred twenty-two million, six hundred eleven thousand, seven hundred twenty".