1098227239200 has 2592 divisors, whose sum is σ = 5251501382400. Its totient is φ = 213400535040.

The previous prime is 1098227239199. The next prime is 1098227239211. The reversal of 1098227239200 is 29327228901.

It is a happy number.

It is a super-2 number, since 2×1098227239200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3059128621 + ... + 3059128979.

It is an arithmetic number, because the mean of its divisors is an integer number (2026042200).

Almost surely, 2^{1098227239200} is an apocalyptic number.

1098227239200 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 1098227239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625750691200).

1098227239200 is an abundant number, since it is smaller than the sum of its proper divisors (4153274143200).

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

1098227239200 is a wasteful number, since it uses less digits than its factorization.

1098227239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1098227239200 in words is "one trillion, ninety-eight billion, two hundred twenty-seven million, two hundred thirty-nine thousand, two hundred".