901248120 has 224 divisors, whose sum is σ = 3141544320. Its totient is φ = 232346880.

The previous prime is 901248119. The next prime is 901248121. The reversal of 901248120 is 21842109.

It is an interprime number because it is at equal distance from previous prime (901248119) and next prime (901248121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901248121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 903462 + ... + 904458.

Almost surely, 2^901248120 is an apocalyptic number.

901248120 is a gapful number since it is divisible by the number (90) 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 901248120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570772160).

901248120 is an abundant number, since it is smaller than the sum of its proper divisors (2240296200).

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

901248120 is a wasteful number, since it uses less digits than its factorization.

901248120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 901248120 is about 30020.7947929431. The cubic root of 901248120 is about 965.9354920081.

The spelling of 901248120 in words is "nine hundred one million, two hundred forty-eight thousand, one hundred twenty".