2121127965000 has 1600 divisors, whose sum is σ = 8569864765440. Its totient is φ = 484989120000.

The previous prime is 2121127964959. The next prime is 2121127965059. The reversal of 2121127965000 is 5697211212.

2121127965000 is a `hidden beast` number, since 2 + 1 + 21 + 127 + 9 + 6 + 500 + 0 = 666.

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 399 ways as a sum of consecutive naturals, for example, 13013054919 + ... + 13013055081.

Almost surely, 2^{2121127965000} is an apocalyptic number.

2121127965000 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 2121127965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284932382720).

2121127965000 is an abundant number, since it is smaller than the sum of its proper divisors (6448736800440).

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

2121127965000 is a wasteful number, since it uses less digits than its factorization.

2121127965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 2121127965000 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-seven million, nine hundred sixty-five thousand".