142221202400 has 72 divisors (see below), whose sum is σ = 347483790864. Its totient is φ = 56841574400.

The previous prime is 142221202271. The next prime is 142221202421. The reversal of 142221202400 is 4202122241.

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 11 ways as a sum of consecutive naturals, for example, 905720 + ... + 1051080.

It is an arithmetic number, because the mean of its divisors is an integer number (4826163762).

Almost surely, 2^142221202400 is an apocalyptic number.

142221202400 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 142221202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173741895432).

142221202400 is an abundant number, since it is smaller than the sum of its proper divisors (205262588464).

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

142221202400 is a wasteful number, since it uses less digits than its factorization.

142221202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146604 (or 146591 counting only the distinct ones).

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

Adding to 142221202400 its reverse (4202122241), we get a palindrome (146423324641).

The spelling of 142221202400 in words is "one hundred forty-two billion, two hundred twenty-one million, two hundred two thousand, four hundred".