11973811200 has 528 divisors, whose sum is σ = 43495966080. Its totient is φ = 2887188480.

The previous prime is 11973811169. The next prime is 11973811231. The reversal of 11973811200 is 211837911.

It is an interprime number because it is at equal distance from previous prime (11973811169) and next prime (11973811231).

It is a super-3 number, since 3×11973811200³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66892711 + ... + 66892889.

Almost surely, 2^11973811200 is an apocalyptic number.

11973811200 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 11973811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21747983040).

11973811200 is an abundant number, since it is smaller than the sum of its proper divisors (31522154880).

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

11973811200 is a wasteful number, since it uses less digits than its factorization.

11973811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The spelling of 11973811200 in words is "eleven billion, nine hundred seventy-three million, eight hundred eleven thousand, two hundred".