202142421312 has 224 divisors, whose sum is σ = 583078401024. Its totient is φ = 61433856000.

The previous prime is 202142421301. The next prime is 202142421337. The reversal of 202142421312 is 213124241202.

It is a super-2 number, since 2×202142421312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153021612 + ... + 153022932.

It is an arithmetic number, because the mean of its divisors is an integer number (2603028576).

Almost surely, 2^202142421312 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 202142421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291539200512).

202142421312 is an abundant number, since it is smaller than the sum of its proper divisors (380935979712).

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

202142421312 is a wasteful number, since it uses less digits than its factorization.

202142421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 202142421312 its reverse (213124241202), we get a palindrome (415266662514).

The spelling of 202142421312 in words is "two hundred two billion, one hundred forty-two million, four hundred twenty-one thousand, three hundred twelve".