11970129844800 has 1848 divisors, whose sum is σ = 47045419987712. Its totient is φ = 2993075712000.

The previous prime is 11970129844787. The next prime is 11970129844801. The reversal of 11970129844800 is 844892107911.

11970129844800 is a `hidden beast` number, since 1 + 1 + 9 + 70 + 1 + 2 + 98 + 4 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11970129844801) by changing a digit.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 178658654367 + ... + 178658654433.

Almost surely, 2^{11970129844800} is an apocalyptic number.

11970129844800 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 11970129844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522709993856).

11970129844800 is an abundant number, since it is smaller than the sum of its proper divisors (35075290142912).

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

11970129844800 is an frugal number, since it uses more digits than its factorization.

11970129844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 11970129844800 in words is "eleven trillion, nine hundred seventy billion, one hundred twenty-nine million, eight hundred forty-four thousand, eight hundred".