122715120 has 320 divisors, whose sum is σ = 452542464. Its totient is φ = 27202560.

The previous prime is 122715119. The next prime is 122715121. The reversal of 122715120 is 21517221.

It is an interprime number because it is at equal distance from previous prime (122715119) and next prime (122715121).

It is a super-2 number, since 2×122715120² = 30118001353228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122715121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2610937 + ... + 2610983.

Almost surely, 2^122715120 is an apocalyptic number.

122715120 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 122715120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226271232).

122715120 is an abundant number, since it is smaller than the sum of its proper divisors (329827344).

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

122715120 is a wasteful number, since it uses less digits than its factorization.

122715120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 122715120 is about 11077.6856788772. The cubic root of 122715120 is about 496.9347400976.

It can be divided in two parts, 12271 and 5120, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 122715120 in words is "one hundred twenty-two million, seven hundred fifteen thousand, one hundred twenty".