123210133200 has 1440 divisors, whose sum is σ = 562753481472. Its totient is φ = 24219648000.

The previous prime is 123210133187. The next prime is 123210133213. The reversal of 123210133200 is 2331012321.

123210133200 is a `hidden beast` number, since 1 + 232 + 101 + 332 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123210133187) and next prime (123210133213).

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 287 ways as a sum of consecutive naturals, for example, 420512254 + ... + 420512546.

Almost surely, 2^123210133200 is an apocalyptic number.

123210133200 is a gapful number since it is divisible by the number (10) 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 123210133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281376740736).

123210133200 is an abundant number, since it is smaller than the sum of its proper divisors (439543348272).

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

123210133200 is a wasteful number, since it uses less digits than its factorization.

123210133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123210133200 its reverse (2331012321), we get a palindrome (125541145521).

The spelling of 123210133200 in words is "one hundred twenty-three billion, two hundred ten million, one hundred thirty-three thousand, two hundred".