122101824 has 168 divisors, whose sum is σ = 361444032. Its totient is φ = 36341760.

The previous prime is 122101801. The next prime is 122101841. The reversal of 122101824 is 428101221.

It is a self number, because there is not a number n which added to its sum of digits gives 122101824.

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, 1719709 + ... + 1719779.

Almost surely, 2^122101824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180722016).

122101824 is an abundant number, since it is smaller than the sum of its proper divisors (239342208).

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

122101824 is a wasteful number, since it uses less digits than its factorization.

122101824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 122101824 is about 11049.9694117224. The cubic root of 122101824 is about 496.1055099856.

The spelling of 122101824 in words is "one hundred twenty-two million, one hundred one thousand, eight hundred twenty-four".