2121193630080 has 960 divisors, whose sum is σ = 8918981351280. Its totient is φ = 478955151360.

The previous prime is 2121193630067. The next prime is 2121193630081. The reversal of 2121193630080 is 800363911212.

2121193630080 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 19 + 3 + 630 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121193630081) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210828250 + ... + 210838310.

Almost surely, 2^{2121193630080} is an apocalyptic number.

2121193630080 is a gapful number since it is divisible by the number (20) 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 2121193630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459490675640).

2121193630080 is an abundant number, since it is smaller than the sum of its proper divisors (6797787721200).

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

2121193630080 is a wasteful number, since it uses less digits than its factorization.

2121193630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 2121193630080 in words is "two trillion, one hundred twenty-one billion, one hundred ninety-three million, six hundred thirty thousand, eighty".