122501120 has 96 divisors (see below), whose sum is σ = 336117600. Its totient is φ = 41975808.

The previous prime is 122501087. The next prime is 122501149. The reversal of 122501120 is 21105221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122501095 and 122501104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70826 + ... + 72534.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2^122501120 is an apocalyptic number.

122501120 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 122501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

122501120 is an abundant number, since it is smaller than the sum of its proper divisors (213616480).

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

122501120 is an equidigital number, since it uses as much as digits as its factorization.

122501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 122501120 is about 11068.0224069162. The cubic root of 122501120 is about 496.6457077673.

Adding to 122501120 its reverse (21105221), we get a palindrome (143606341).

The spelling of 122501120 in words is "one hundred twenty-two million, five hundred one thousand, one hundred twenty".