122073120 has 144 divisors (see below), whose sum is σ = 448687512. Its totient is φ = 30044160.

The previous prime is 122073103. The next prime is 122073137. The reversal of 122073120 is 21370221.

It is an interprime number because it is at equal distance from previous prime (122073103) and next prime (122073137).

It can be written as a sum of positive squares in 4 ways, for example, as 103306896 + 18766224 = 10164^2 + 4332^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122073093 and 122073102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15460 + ... + 21980.

Almost surely, 2^122073120 is an apocalyptic number.

122073120 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 122073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224343756).

122073120 is an abundant number, since it is smaller than the sum of its proper divisors (326614392).

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

122073120 is a wasteful number, since it uses less digits than its factorization.

122073120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6555 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 122073120 is about 11048.6705082557. The cubic root of 122073120 is about 496.0666317005.

The spelling of 122073120 in words is "one hundred twenty-two million, seventy-three thousand, one hundred twenty".