122073600 has 360 divisors, whose sum is σ = 467322768. Its totient is φ = 27852800.

The previous prime is 122073577. The next prime is 122073607. The reversal of 122073600 is 6370221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122073607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7180792 + ... + 7180808.

Almost surely, 2^122073600 is an apocalyptic number.

122073600 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 122073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233661384).

122073600 is an abundant number, since it is smaller than the sum of its proper divisors (345249168).

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

122073600 is a wasteful number, since it uses less digits than its factorization.

122073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 122073600 is about 11048.6922303049. The cubic root of 122073600 is about 496.0672818892.

The spelling of 122073600 in words is "one hundred twenty-two million, seventy-three thousand, six hundred".