201226596120 has 1152 divisors, whose sum is σ = 816427123200. Its totient is φ = 42779404800.

The previous prime is 201226596113. The next prime is 201226596229. The reversal of 201226596120 is 21695622102.

201226596120 is a `hidden beast` number, since 2 + 0 + 12 + 26 + 5 + 9 + 612 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6491180505 + ... + 6491180535.

It is an arithmetic number, because the mean of its divisors is an integer number (708704100).

Almost surely, 2^201226596120 is an apocalyptic number.

201226596120 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 201226596120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408213561600).

201226596120 is an abundant number, since it is smaller than the sum of its proper divisors (615200527080).

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

201226596120 is a wasteful number, since it uses less digits than its factorization.

201226596120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 201226596120 in words is "two hundred one billion, two hundred twenty-six million, five hundred ninety-six thousand, one hundred twenty".