132120212201334 has 256 divisors, whose sum is σ = 353471019264000. Its totient is φ = 35793531790848.

The previous prime is 132120212201311. The next prime is 132120212201357. The reversal of 132120212201334 is 433102212021231.

132120212201334 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 202 + 122 + 0 + 1 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (132120212201311) and next prime (132120212201357).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132120212201298 and 132120212201307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109849329 + ... + 111045555.

It is an arithmetic number, because the mean of its divisors is an integer number (1380746169000).

Almost surely, 2^{132120212201334} is an apocalyptic number.

132120212201334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132120212201334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176735509632000).

132120212201334 is an abundant number, since it is smaller than the sum of its proper divisors (221350807062666).

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

132120212201334 is a wasteful number, since it uses less digits than its factorization.

132120212201334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196484 (or 1196478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132120212201334 its reverse (433102212021231), we get a palindrome (565222424222565).

The spelling of 132120212201334 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred twelve million, two hundred one thousand, three hundred thirty-four".