201225297192192 has 1728 divisors, whose sum is σ = 791452079308800. Its totient is φ = 49813007892480.

The previous prime is 201225297192151. The next prime is 201225297192211. The reversal of 201225297192192 is 291291792522102.

201225297192192 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 2 + 529 + 7 + 1 + 9 + 21 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29116665217 + ... + 29116672127.

It is an arithmetic number, because the mean of its divisors is an integer number (458016249600).

Almost surely, 2^{201225297192192} 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 201225297192192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395726039654400).

201225297192192 is an abundant number, since it is smaller than the sum of its proper divisors (590226782116608).

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

201225297192192 is a wasteful number, since it uses less digits than its factorization.

201225297192192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7369 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 201225297192192 in words is "two hundred one trillion, two hundred twenty-five billion, two hundred ninety-seven million, one hundred ninety-two thousand, one hundred ninety-two".