2121035004000 has 768 divisors, whose sum is σ = 8694279659520. Its totient is φ = 497594880000.

The previous prime is 2121035003999. The next prime is 2121035004041. The reversal of 2121035004000 is 4005301212.

2121035004000 is a `hidden beast` number, since 2 + 1 + 210 + 3 + 50 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36799204 + ... + 36856796.

It is an arithmetic number, because the mean of its divisors is an integer number (11320676640).

Almost surely, 2^{2121035004000} is an apocalyptic number.

2121035004000 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 2121035004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4347139829760).

2121035004000 is an abundant number, since it is smaller than the sum of its proper divisors (6573244655520).

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

2121035004000 is a wasteful number, since it uses less digits than its factorization.

2121035004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57669 (or 57645 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 2121035004000 in words is "two trillion, one hundred twenty-one billion, thirty-five million, four thousand".