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12132033000210 = 2325376135841629
BaseRepresentation
bin1011000010001011010110…
…0001000111001100010010
31120221210220020110110102100
42300202311201013030102
53042232400422001320
641445213511301230
72361340042004124
oct260426541071422
946853806413370
1012132033000210
1139581913900a2
12143b32937a816
136a0079824206
142dd29d093214
151608ae4b4790
hexb08b5847312

12132033000210 has 48 divisors (see below), whose sum is σ = 31551673622040. Its totient is φ = 3234348510720.

The previous prime is 12132033000127. The next prime is 12132033000253. The reversal of 12132033000210 is 1200033023121.

12132033000210 is a `hidden beast` number, since 1 + 2 + 1 + 320 + 330 + 0 + 0 + 2 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5454237955761 + 6677795044449 = 2335431^2 + 2584143^2 .

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 23 ways as a sum of consecutive naturals, for example, 17582325 + ... + 18259304.

Almost surely, 212132033000210 is an apocalyptic number.

12132033000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12132033000210 is an abundant number, since it is smaller than the sum of its proper divisors (19419640621830).

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

12132033000210 is a wasteful number, since it uses less digits than its factorization.

12132033000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35845403 (or 35845400 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12132033000210 its reverse (1200033023121), we get a palindrome (13332066023331).

The spelling of 12132033000210 in words is "twelve trillion, one hundred thirty-two billion, thirty-three million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3761 7522 11283 18805 22566 33849 37610 56415 67698 112830 169245 338490 35841629 71683258 107524887 179208145 215049774 322574661 358416290 537624435 645149322 1075248870 1612873305 3225746610 134800366669 269600733338 404401100007 674001833345 808802200014 1213203300021 1348003666690 2022005500035 2426406600042 4044011000070 6066016500105 12132033000210