201210138792 has 384 divisors, whose sum is σ = 639967910400. Its totient is φ = 56593152000.

The previous prime is 201210138781. The next prime is 201210138793. The reversal of 201210138792 is 297831012102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201210138793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63053917 + ... + 63057107.

It is an arithmetic number, because the mean of its divisors is an integer number (1666583100).

Almost surely, 2^201210138792 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 201210138792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319983955200).

201210138792 is an abundant number, since it is smaller than the sum of its proper divisors (438757771608).

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

201210138792 is a wasteful number, since it uses less digits than its factorization.

201210138792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 201210138792 in words is "two hundred one billion, two hundred ten million, one hundred thirty-eight thousand, seven hundred ninety-two".