201257120 has 96 divisors (see below), whose sum is σ = 504403200. Its totient is φ = 75672576.

The previous prime is 201257113. The next prime is 201257123. The reversal of 201257120 is 21752102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201257092 and 201257101.

It is not an unprimeable number, because it can be changed into a prime (201257123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726422 + ... + 726698.

It is an arithmetic number, because the mean of its divisors is an integer number (5254200).

Almost surely, 2^201257120 is an apocalyptic number.

201257120 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 201257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252201600).

201257120 is an abundant number, since it is smaller than the sum of its proper divisors (303146080).

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

201257120 is a wasteful number, since it uses less digits than its factorization.

201257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 201257120 is about 14186.5119039177. The cubic root of 201257120 is about 586.0262697554.

The spelling of 201257120 in words is "two hundred one million, two hundred fifty-seven thousand, one hundred twenty".