132114424200000 has 1344 divisors, whose sum is σ = 514522808432640. Its totient is φ = 29577856000000.

The previous prime is 132114424199993. The next prime is 132114424200019. The reversal of 132114424200000 is 2424411231.

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 191 ways as a sum of consecutive naturals, for example, 4402184995 + ... + 4402215005.

It is an arithmetic number, because the mean of its divisors is an integer number (382829470560).

Almost surely, 2^{132114424200000} is an apocalyptic number.

132114424200000 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 132114424200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257261404216320).

132114424200000 is an abundant number, since it is smaller than the sum of its proper divisors (382408384232640).

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

132114424200000 is a wasteful number, since it uses less digits than its factorization.

132114424200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30114 (or 30084 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 132114424200000 its reverse (2424411231), we get a palindrome (132116848611231).

The spelling of 132114424200000 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred twenty-four million, two hundred thousand".