1228112400 has 120 divisors (see below), whose sum is σ = 3942560160. Its totient is φ = 326789120.

The previous prime is 1228112359. The next prime is 1228112407. The reversal of 1228112400 is 42118221.

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

It is not an unprimeable number, because it can be changed into a prime (1228112407) 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, 790024 + ... + 791576.

It is an arithmetic number, because the mean of its divisors is an integer number (32854668).

Almost surely, 2^1228112400 is an apocalyptic number.

1228112400 is a gapful number since it is divisible by the number (10) 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 1228112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971280080).

1228112400 is an abundant number, since it is smaller than the sum of its proper divisors (2714447760).

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

1228112400 is a wasteful number, since it uses less digits than its factorization.

1228112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1228112400 is about 35044.4346508829. The cubic root of 1228112400 is about 1070.8928989595.

The spelling of 1228112400 in words is "one billion, two hundred twenty-eight million, one hundred twelve thousand, four hundred".