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12020202100332 = 22323753439387853
BaseRepresentation
bin1010111011101010101111…
…1000000101011001101100
31120120010020112220010120200
42232322223320011121230
53033414333214202312
641322000555113500
72350300546022136
oct256725370053154
946503215803520
1012020202100332
1139148147a0898
121421719442890
13692666c087ca
142d7ad0a72056
1515ca167ad0dc
hexaeeabe0566c

12020202100332 has 144 divisors (see below), whose sum is σ = 31866891376320. Its totient is φ = 3816165809664.

The previous prime is 12020202100307. The next prime is 12020202100367. The reversal of 12020202100332 is 23300120202021.

12020202100332 is a `hidden beast` number, since 12 + 0 + 20 + 202 + 100 + 332 = 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 47 ways as a sum of consecutive naturals, for example, 30797718 + ... + 31185570.

It is an arithmetic number, because the mean of its divisors is an integer number (221297856780).

Almost surely, 212020202100332 is an apocalyptic number.

12020202100332 is a gapful number since it is divisible by the number (12) 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 12020202100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15933445688160).

12020202100332 is an abundant number, since it is smaller than the sum of its proper divisors (19846689275988).

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

12020202100332 is a wasteful number, since it uses less digits than its factorization.

12020202100332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388392 (or 388387 counting only the distinct ones).

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

Adding to 12020202100332 its reverse (23300120202021), we get a palindrome (35320322302353).

The spelling of 12020202100332 in words is "twelve trillion, twenty billion, two hundred two million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 53 74 106 111 148 159 212 222 318 333 439 444 477 636 666 878 954 1317 1332 1756 1908 1961 2634 3922 3951 5268 5883 7844 7902 11766 15804 16243 17649 23267 23532 32486 35298 46534 48729 64972 69801 70596 93068 97458 139602 146187 194916 209403 279204 292374 387853 418806 584748 775706 837612 860879 1163559 1551412 1721758 2327118 2582637 3443516 3490677 4654236 5165274 6981354 7747911 10330548 13962708 14350561 15495822 20556209 28701122 30991644 41112418 43051683 57402244 61668627 82224836 86103366 123337254 129155049 170267467 172206732 185005881 246674508 258310098 340534934 370011762 510802401 516620196 681069868 740023524 760579733 1021604802 1521159466 1532407203 2043209604 2281739199 3042318932 3064814406 4563478398 6129628812 6299896279 6845217597 9024175751 9126956796 12599792558 13690435194 18048351502 18899688837 25199585116 27072527253 27380870388 36096703004 37799377674 54145054506 56699066511 75598755348 81217581759 108290109012 113398133022 162435163518 226796266044 324870327036 333894502787 667789005574 1001683508361 1335578011148 2003367016722 3005050525083 4006734033444 6010101050166 12020202100332