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12132201021300 = 223252371273737691
BaseRepresentation
bin1011000010001011111110…
…0010000011111101110100
31120221211022221121211000200
42300202333202003331310
53042233221430140200
641445242312440500
72361344152111413
oct260427742037564
946854287554020
1012132201021300
1139582682108a8
12143b3756a9130
136a00a5592889
142dd2b750d47a
151608be103800
hexb08bf883f74

12132201021300 has 432 divisors, whose sum is σ = 39473672189952. Its totient is φ = 3114250675200.

The previous prime is 12132201021287. The next prime is 12132201021341. The reversal of 12132201021300 is 312010223121.

12132201021300 is a `hidden beast` number, since 1 + 21 + 322 + 0 + 1 + 0 + 21 + 300 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1577450455 + ... + 1577458145.

Almost surely, 212132201021300 is an apocalyptic number.

12132201021300 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 12132201021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736836094976).

12132201021300 is an abundant number, since it is smaller than the sum of its proper divisors (27341471168652).

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

12132201021300 is a wasteful number, since it uses less digits than its factorization.

12132201021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132201021300 its reverse (312010223121), we get a palindrome (12444211244421).

The spelling of 12132201021300 in words is "twelve trillion, one hundred thirty-two billion, two hundred one million, twenty-one thousand, three hundred".