202442346120 has 256 divisors, whose sum is σ = 728019394560. Its totient is φ = 44063695872.

The previous prime is 202442346103. The next prime is 202442346133. The reversal of 202442346120 is 21643244202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1391467 + ... + 1530053.

It is an arithmetic number, because the mean of its divisors is an integer number (2843825760).

Almost surely, 2^202442346120 is an apocalyptic number.

202442346120 is a gapful number since it is divisible by the number (20) 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 202442346120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364009697280).

202442346120 is an abundant number, since it is smaller than the sum of its proper divisors (525577048440).

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

202442346120 is a wasteful number, since it uses less digits than its factorization.

202442346120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138692 (or 138688 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 202442346120 in words is "two hundred two billion, four hundred forty-two million, three hundred forty-six thousand, one hundred twenty".