2121096991680 has 224 divisors, whose sum is σ = 7484220622080. Its totient is φ = 565515371520.

The previous prime is 2121096991667. The next prime is 2121096991681. The reversal of 2121096991680 is 861996901212.

It is a super-2 number, since 2×2121096991680² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121096991681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50324215 + ... + 50366345.

Almost surely, 2^{2121096991680} is an apocalyptic number.

2121096991680 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 2121096991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742110311040).

2121096991680 is an abundant number, since it is smaller than the sum of its proper divisors (5363123630400).

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

2121096991680 is a wasteful number, since it uses less digits than its factorization.

2121096991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47984 (or 47968 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 2121096991680 in words is "two trillion, one hundred twenty-one billion, ninety-six million, nine hundred ninety-one thousand, six hundred eighty".