2121123211200 has 1512 divisors, whose sum is σ = 9386572470912. Its totient is φ = 451356917760.

The previous prime is 2121123211187. The next prime is 2121123211211. The reversal of 2121123211200 is 21123211212.

2121123211200 is a `hidden beast` number, since 21 + 211 + 23 + 211 + 200 = 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 215 ways as a sum of consecutive naturals, for example, 1163533489 + ... + 1163535311.

It is an arithmetic number, because the mean of its divisors is an integer number (6208050576).

Almost surely, 2^{2121123211200} is an apocalyptic number.

2121123211200 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 2121123211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693286235456).

2121123211200 is an abundant number, since it is smaller than the sum of its proper divisors (7265449259712).

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

2121123211200 is a wasteful number, since it uses less digits than its factorization.

2121123211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2121123211200 its reverse (21123211212), we get a palindrome (2142246422412).

The spelling of 2121123211200 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-three million, two hundred eleven thousand, two hundred".