2123312400 has 480 divisors, whose sum is σ = 8408211840. Its totient is φ = 504576000.

The previous prime is 2123312369. The next prime is 2123312423. The reversal of 2123312400 is 42133212.

2123312400 is a `hidden beast` number, since 21 + 233 + 12 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7246654 + ... + 7246946.

It is an arithmetic number, because the mean of its divisors is an integer number (17517108).

Almost surely, 2^2123312400 is an apocalyptic number.

2123312400 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 2123312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204105920).

2123312400 is an abundant number, since it is smaller than the sum of its proper divisors (6284899440).

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

2123312400 is a wasteful number, since it uses less digits than its factorization.

2123312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123312400 is about 46079.4140587747. The cubic root of 2123312400 is about 1285.3003683468.

Adding to 2123312400 its reverse (42133212), we get a palindrome (2165445612).

It can be divided in two parts, 21233 and 12400, that added together give a palindrome (33633).

The spelling of 2123312400 in words is "two billion, one hundred twenty-three million, three hundred twelve thousand, four hundred".