901210128 has 160 divisors (see below), whose sum is σ = 3016473600. Its totient is φ = 225151488.

The previous prime is 901210097. The next prime is 901210133. The reversal of 901210128 is 821012109.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 901210098 and 901210107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77563 + ... + 88421.

It is an arithmetic number, because the mean of its divisors is an integer number (18852960).

Almost surely, 2^901210128 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 901210128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508236800).

901210128 is an abundant number, since it is smaller than the sum of its proper divisors (2115263472).

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

901210128 is a wasteful number, since it uses less digits than its factorization.

901210128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 901210128 is about 30020.1620248792. The cubic root of 901210128 is about 965.9219188547.

The spelling of 901210128 in words is "nine hundred one million, two hundred ten thousand, one hundred twenty-eight".