109149206281200 has 1440 divisors, whose sum is σ = 413937500193280. Its totient is φ = 27651031119360.

The previous prime is 109149206281187. The next prime is 109149206281211. The reversal of 109149206281200 is 2182602941901.

It is a happy number.

109149206281200 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 4 + 9 + 2 + 0 + 628 + 12 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75431378877 + ... + 75431380323.

Almost surely, 2^{109149206281200} is an apocalyptic number.

109149206281200 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 109149206281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206968750096640).

109149206281200 is an abundant number, since it is smaller than the sum of its proper divisors (304788293912080).

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

109149206281200 is a wasteful number, since it uses less digits than its factorization.

109149206281200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 109149206281200 in words is "one hundred nine trillion, one hundred forty-nine billion, two hundred six million, two hundred eighty-one thousand, two hundred".