210142233120 has 192 divisors, whose sum is σ = 678559545216. Its totient is φ = 54633553920.

The previous prime is 210142233073. The next prime is 210142233151. The reversal of 210142233120 is 21332241012.

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, 39298287 + ... + 39303633.

It is an arithmetic number, because the mean of its divisors is an integer number (3534164298).

Almost surely, 2^210142233120 is an apocalyptic number.

210142233120 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 210142233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339279772608).

210142233120 is an abundant number, since it is smaller than the sum of its proper divisors (468417312096).

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

210142233120 is a wasteful number, since it uses less digits than its factorization.

210142233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7403 (or 7395 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 210142233120 its reverse (21332241012), we get a palindrome (231474474132).

The spelling of 210142233120 in words is "two hundred ten billion, one hundred forty-two million, two hundred thirty-three thousand, one hundred twenty".