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12132002220300 = 223252376149911969
BaseRepresentation
bin1011000010001011001110…
…1011101100100100001100
31120221210211002112200022200
42300202303223230210030
53042232320032022200
641445210451441500
72361336216246564
oct260426353544414
946853732480280
1012132002220300
113958175a77756
12143b31abb6290
136a0073338251
142dd298d5dda4
151608ab934800
hexb08b3aec90c

12132002220300 has 432 divisors, whose sum is σ = 39777961860000. Its totient is φ = 3089697177600.

The previous prime is 12132002220277. The next prime is 12132002220313. The reversal of 12132002220300 is 302220023121.

12132002220300 is a `hidden beast` number, since 1 + 2 + 1 + 320 + 0 + 22 + 20 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1013612716 + ... + 1013624684.

Almost surely, 212132002220300 is an apocalyptic number.

12132002220300 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 12132002220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19888980930000).

12132002220300 is an abundant number, since it is smaller than the sum of its proper divisors (27645959639700).

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

12132002220300 is a wasteful number, since it uses less digits than its factorization.

12132002220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12586 (or 12576 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12132002220300 its reverse (302220023121), we get a palindrome (12434222243421).

The spelling of 12132002220300 in words is "twelve trillion, one hundred thirty-two billion, two million, two hundred twenty thousand, three hundred".