1008912121200 has 300 divisors, whose sum is σ = 3778338068208. Its totient is φ = 257345510400.

The previous prime is 1008912121187. The next prime is 1008912121201. The reversal of 1008912121200 is 21212198001.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008912121201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68260 + ... + 1422140.

Almost surely, 2^{1008912121200} is an apocalyptic number.

1008912121200 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 1008912121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889169034104).

1008912121200 is an abundant number, since it is smaller than the sum of its proper divisors (2769425947008).

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

1008912121200 is a wasteful number, since it uses less digits than its factorization.

1008912121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353934 (or 1353914 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

It can be divided in two parts, 10089 and 12121200, that added together give a square (12131289 = 3483²).

The spelling of 1008912121200 in words is "one trillion, eight billion, nine hundred twelve million, one hundred twenty-one thousand, two hundred".