122994144 has 324 divisors, whose sum is σ = 456825096. Its totient is φ = 30730752.

The previous prime is 122994127. The next prime is 122994161. The reversal of 122994144 is 441499221.

It is an interprime number because it is at equal distance from previous prime (122994127) and next prime (122994161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122994099 and 122994108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6473367 + ... + 6473385.

It is an arithmetic number, because the mean of its divisors is an integer number (1409954).

Almost surely, 2^122994144 is an apocalyptic number.

122994144 is a gapful number since it is divisible by the number (14) 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 122994144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228412548).

122994144 is an abundant number, since it is smaller than the sum of its proper divisors (333830952).

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

122994144 is a wasteful number, since it uses less digits than its factorization.

122994144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 44 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 122994144 is about 11090.2724943980. The cubic root of 122994144 is about 497.3110907898.

The spelling of 122994144 in words is "one hundred twenty-two million, nine hundred ninety-four thousand, one hundred forty-four".