202144124000 has 384 divisors, whose sum is σ = 615214559232. Its totient is φ = 63564134400.

The previous prime is 202144123969. The next prime is 202144124029. The reversal of 202144124000 is 421441202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 59330297 + ... + 59333703.

It is an arithmetic number, because the mean of its divisors is an integer number (1602121248).

Almost surely, 2^202144124000 is an apocalyptic number.

202144124000 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 202144124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307607279616).

202144124000 is an abundant number, since it is smaller than the sum of its proper divisors (413070435232).

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

202144124000 is a wasteful number, since it uses less digits than its factorization.

202144124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202144124000 its reverse (421441202), we get a palindrome (202565565202).

The spelling of 202144124000 in words is "two hundred two billion, one hundred forty-four million, one hundred twenty-four thousand".