901222800 has 120 divisors (see below), whose sum is σ = 3012527424. Its totient is φ = 229870080.

The previous prime is 901222789. The next prime is 901222807. The reversal of 901222800 is 8222109.

901222800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (901222807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11274 + ... + 43926.

Almost surely, 2^901222800 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 901222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506263712).

901222800 is an abundant number, since it is smaller than the sum of its proper divisors (2111304624).

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

901222800 is a wasteful number, since it uses less digits than its factorization.

901222800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32697 (or 32686 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 901222800 is about 30020.3730822920. The cubic root of 901222800 is about 965.9264461397.

Adding to 901222800 its reverse (8222109), we get a palindrome (909444909).

The spelling of 901222800 in words is "nine hundred one million, two hundred twenty-two thousand, eight hundred".