1212161976000 has 448 divisors, whose sum is σ = 4470484287360. Its totient is φ = 321557299200.

The previous prime is 1212161975951. The next prime is 1212161976001. The reversal of 1212161976000 is 6791612121.

1212161976000 is a `hidden beast` number, since 1 + 21 + 2 + 16 + 19 + 7 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1212161976001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41673462 + ... + 41702538.

It is an arithmetic number, because the mean of its divisors is an integer number (9978759570).

Almost surely, 2^{1212161976000} is an apocalyptic number.

1212161976000 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 1212161976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235242143680).

1212161976000 is an abundant number, since it is smaller than the sum of its proper divisors (3258322311360).

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

1212161976000 is a wasteful number, since it uses less digits than its factorization.

1212161976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29306 (or 29280 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1212161976000 in words is "one trillion, two hundred twelve billion, one hundred sixty-one million, nine hundred seventy-six thousand".