12132022351200 has 288 divisors, whose sum is σ = 42093301168800. Its totient is φ = 3024462643200.

The previous prime is 12132022351177. The next prime is 12132022351243. The reversal of 12132022351200 is 215322023121.

It is a super-2 number, since 2×12132022351200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5081370 + ... + 7077030.

It is an arithmetic number, because the mean of its divisors is an integer number (146157295725).

Almost surely, 2^{12132022351200} is an apocalyptic number.

12132022351200 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 12132022351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046650584400).

12132022351200 is an abundant number, since it is smaller than the sum of its proper divisors (29961278817600).

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

12132022351200 is a wasteful number, since it uses less digits than its factorization.

12132022351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995850 (or 1995837 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12132022351200 its reverse (215322023121), we get a palindrome (12347344374321).

The spelling of 12132022351200 in words is "twelve trillion, one hundred thirty-two billion, twenty-two million, three hundred fifty-one thousand, two hundred".