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12011080097620 = 2252961714781519
BaseRepresentation
bin1010111011001000110000…
…1010011001111101010100
31120112020200211020101022101
42232302030022121331110
53033242143001110440
641313451455011444
72346525522206062
oct256621412317524
946466624211271
1012011080097620
11391096365017a
12141b9b2509b84
136918420acb76
142d74a737d032
1515c680a3269a
hexaec8c299f54

12011080097620 has 96 divisors (see below), whose sum is σ = 26894328652800. Its totient is φ = 4498452134400.

The previous prime is 12011080097587. The next prime is 12011080097629. The reversal of 12011080097620 is 2679008011021.

12011080097620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120110800976202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12011080097620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011080097629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121221 + ... + 4902739.

It is an arithmetic number, because the mean of its divisors is an integer number (280149256800).

Almost surely, 212011080097620 is an apocalyptic number.

12011080097620 is a gapful number since it is divisible by the number (10) 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 12011080097620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447164326400).

12011080097620 is an abundant number, since it is smaller than the sum of its proper divisors (14883248555180).

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

12011080097620 is a wasteful number, since it uses less digits than its factorization.

12011080097620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781689 (or 4781687 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 12011080097620 in words is "twelve trillion, eleven billion, eighty million, ninety-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 61 71 116 122 142 145 244 284 290 305 355 580 610 710 1220 1420 1769 2059 3538 4118 4331 7076 8236 8662 8845 10295 17324 17690 20590 21655 35380 41180 43310 86620 125599 251198 502396 627995 1255990 2511980 4781519 9563038 19126076 23907595 47815190 95630380 138664051 277328102 291672659 339487849 554656204 583345318 678975698 693320255 1166690636 1357951396 1386640510 1458363295 1697439245 2773281020 2916726590 3394878490 5833453180 6789756980 8458507111 9845147621 16917014222 19690295242 20708758789 33834028444 39380590484 41417517578 42292535555 49225738105 82835035156 84585071110 98451476210 103543793945 169170142220 196902952420 207087587890 414175175780 600554004881 1201108009762 2402216019524 3002770024405 6005540048810 12011080097620