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12210210000012 = 223372332617821
BaseRepresentation
bin1011000110101110100100…
…1110101100110010001100
31121020021200112021112021110
42301223221032230302030
53100023002230000022
641545143143532020
72400105246355263
oct261535116546214
947207615245243
1012210210000012
113988359253142
12145250675a010
136a755807508b
14302d97a895da
151629378d500c
hexb1ae93acc8c

12210210000012 has 144 divisors (see below), whose sum is σ = 29470103726112. Its totient is φ = 3931886407680.

The previous prime is 12210210000011. The next prime is 12210210000061. The reversal of 12210210000012 is 21000001201221.

12210210000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12210210000011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14872362562 + ... + 14872363382.

It is an arithmetic number, because the mean of its divisors is an integer number (204653498098).

Almost surely, 212210210000012 is an apocalyptic number.

12210210000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12210210000012 is an abundant number, since it is smaller than the sum of its proper divisors (17259893726100).

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

12210210000012 is a wasteful number, since it uses less digits than its factorization.

12210210000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12210210000012 its reverse (21000001201221), we get a palindrome (33210211201233).

The spelling of 12210210000012 in words is "twelve trillion, two hundred ten billion, two hundred ten million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 37 74 111 148 222 233 444 466 617 699 821 932 1234 1398 1642 1851 2463 2468 2796 3284 3702 4926 7404 8621 9852 17242 22829 25863 30377 34484 45658 51726 54289 60754 68487 91131 91316 103452 108578 121508 136974 143761 162867 182262 191293 217156 273948 287522 325734 364524 382586 431283 506557 573879 575044 651468 765172 862566 1013114 1147758 1519671 1725132 2008693 2026228 2295516 3039342 4017386 5319157 6026079 6078684 7077841 8034772 10638314 12052158 14155682 15957471 18742609 21233523 21276628 24104316 28311364 31914942 33496313 37485218 42467046 44571269 56227827 63829884 66992626 74970436 84934092 89142538 100488939 112455654 118027781 133713807 133985252 178285076 200977878 224911308 236055562 267427614 354083343 401955756 472111124 534855228 708166686 1239363581 1416333372 1649136953 2478727162 3298273906 3718090743 4367027897 4947410859 4957454324 6596547812 7436181486 8734055794 9894821718 13101083691 14872362972 17468111588 19789643436 26202167382 27500472973 52404334764 55000945946 82501418919 110001891892 165002837838 330005675676 1017517500001 2035035000002 3052552500003 4070070000004 6105105000006 12210210000012