122733030 has 128 divisors (see below), whose sum is σ = 368271360. Its totient is φ = 25528320.

The previous prime is 122733011. The next prime is 122733043. The reversal of 122733030 is 30337221.

122733030 = 106² + 107² + ... + 717².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122732988 and 122733006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110116 + ... + 111224.

It is an arithmetic number, because the mean of its divisors is an integer number (2877120).

Almost surely, 2^122733030 is an apocalyptic number.

122733030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122733030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184135680).

122733030 is an abundant number, since it is smaller than the sum of its proper divisors (245538330).

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

122733030 is a wasteful number, since it uses less digits than its factorization.

122733030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174.

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 122733030 is about 11078.4940312301. The cubic root of 122733030 is about 496.9589144299.

The spelling of 122733030 in words is "one hundred twenty-two million, seven hundred thirty-three thousand, thirty".