1226219400 has 288 divisors, whose sum is σ = 4736571840. Its totient is φ = 278484480.

The previous prime is 1226219399. The next prime is 1226219411. The reversal of 1226219400 is 49126221.

It is a super-2 number, since 2×1226219400² = 3007228033872720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3868042 + ... + 3868358.

It is an arithmetic number, because the mean of its divisors is an integer number (16446430).

Almost surely, 2^1226219400 is an apocalyptic number.

1226219400 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 1226219400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368285920).

1226219400 is an abundant number, since it is smaller than the sum of its proper divisors (3510352440).

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

1226219400 is a wasteful number, since it uses less digits than its factorization.

1226219400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1226219400 is about 35017.4156670649. The cubic root of 1226219400 is about 1070.3423948636.

The spelling of 1226219400 in words is "one billion, two hundred twenty-six million, two hundred nineteen thousand, four hundred".