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12132120210 = 2357217485479
BaseRepresentation
bin10110100110010000…
…10111011010010010
31011022111201120012120
423103020113122102
5144321310321320
65323505235110
7606434214600
oct132310273222
934274646176
1012132120210
1151662a1531
122427032a96
1311b4643372
148313b0870
154b016c440
hex2d3217692

12132120210 has 96 divisors (see below), whose sum is σ = 35863378560. Its totient is φ = 2609929728.

The previous prime is 12132120197. The next prime is 12132120257. The reversal of 12132120210 is 1202123121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12132120210.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217750 + ... + 267729.

It is an arithmetic number, because the mean of its divisors is an integer number (373576860).

Almost surely, 212132120210 is an apocalyptic number.

12132120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12132120210 is an abundant number, since it is smaller than the sum of its proper divisors (23731258350).

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

12132120210 is a wasteful number, since it uses less digits than its factorization.

12132120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485520 (or 485513 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12132120210 its reverse (1202123121), we get a palindrome (13334243331).

The spelling of 12132120210 in words is "twelve billion, one hundred thirty-two million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 357 490 510 595 714 735 833 1190 1470 1666 1785 2499 3570 4165 4998 8330 12495 24990 485479 970958 1456437 2427395 2912874 3398353 4854790 6796706 7282185 8253143 10195059 14564370 16506286 16991765 20390118 23788471 24759429 33983530 41265715 47576942 49518858 50975295 57772001 71365413 82531430 101950590 115544002 118942355 123797145 142730826 173316003 237884710 247594290 288860005 346632006 356827065 404404007 577720010 713654130 808808014 866580015 1213212021 1733160030 2022020035 2426424042 4044040070 6066060105 12132120210