11971962000 has 400 divisors, whose sum is σ = 43928831232. Its totient is φ = 3142022400.

The previous prime is 11971961999. The next prime is 11971962011. The reversal of 11971962000 is 26917911.

11971962000 is a `hidden beast` number, since 1 + 19 + 7 + 19 + 620 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10853449 + ... + 10854551.

Almost surely, 2^11971962000 is an apocalyptic number.

11971962000 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 11971962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21964415616).

11971962000 is an abundant number, since it is smaller than the sum of its proper divisors (31956869232).

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

11971962000 is a wasteful number, since it uses less digits than its factorization.

11971962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 11971962000 in words is "eleven billion, nine hundred seventy-one million, nine hundred sixty-two thousand".