201261957120 has 900 divisors, whose sum is σ = 840697676280. Its totient is φ = 45928415232.

The previous prime is 201261957109. The next prime is 201261957139. The reversal of 201261957120 is 21759162102.

201261957120 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 61 + 9 + 571 + 20 = 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 59 ways as a sum of consecutive naturals, for example, 325140171 + ... + 325140789.

Almost surely, 2^201261957120 is an apocalyptic number.

201261957120 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 201261957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420348838140).

201261957120 is an abundant number, since it is smaller than the sum of its proper divisors (639435719160).

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

201261957120 is an frugal number, since it uses more digits than its factorization.

201261957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 201261957120 in words is "two hundred one billion, two hundred sixty-one million, nine hundred fifty-seven thousand, one hundred twenty".