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12011302213300 = 22521319225594081
BaseRepresentation
bin1010111011001001100101…
…1001101101011010110100
31120112021021022012000202001
42232302121121231122310
53033243121331311200
641313525511425044
72346534160153465
oct256623131553264
946467238160661
1012011302213300
113910a67a68a55
12141ba54985184
1369187910b570
142d74c8a7ad6c
1515c6952a976a
hexaec9966d6b4

12011302213300 has 108 divisors (see below), whose sum is σ = 29624586845196. Its totient is φ = 4201524172800.

The previous prime is 12011302213297. The next prime is 12011302213327. The reversal of 12011302213300 is 331220311021.

It can be written as a sum of positive squares in 6 ways, for example, as 1756589732496 + 10254712480804 = 1325364^2 + 3202298^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12327741 + ... + 13266340.

Almost surely, 212011302213300 is an apocalyptic number.

12011302213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011302213300 is an abundant number, since it is smaller than the sum of its proper divisors (17613284631896).

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

12011302213300 is a wasteful number, since it uses less digits than its factorization.

12011302213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25594146 (or 25594120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12011302213300 its reverse (331220311021), we get a palindrome (12342522524321).

The spelling of 12011302213300 in words is "twelve trillion, eleven billion, three hundred two million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 361 380 475 494 650 722 950 988 1235 1300 1444 1805 1900 2470 3610 4693 4940 6175 7220 9025 9386 12350 18050 18772 23465 24700 36100 46930 93860 117325 234650 469300 25594081 51188162 102376324 127970405 255940810 332723053 486287539 511881620 639852025 665446106 972575078 1279704050 1330892212 1663615265 1945150156 2431437695 2559408100 3327230530 4862875390 6321738007 6654461060 8318076325 9239463241 9725750780 12157188475 12643476014 16636152650 18478926482 24314376950 25286952028 31608690035 33272305300 36957852964 46197316205 48628753900 63217380070 92394632410 120113022133 126434760140 158043450175 184789264820 230986581025 240226044266 316086900350 461973162050 480452088532 600565110665 632173800700 923946324100 1201130221330 2402260442660 3002825553325 6005651106650 12011302213300