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12256440206130 = 23251014193218003
BaseRepresentation
bin1011001001011010110011…
…0000111100001100110010
31121101201000101120022212200
42302112230300330030302
53101302142143044010
642022310401404030
72403333004546311
oct262265460741462
947351011508780
1012256440206130
1139a5a21a7625a
12145b469039616
136aba14ac5423
1430530186c278
15163c41328cc0
hexb25acc3c332

12256440206130 has 96 divisors (see below), whose sum is σ = 32259074178240. Its totient is φ = 3228299606400.

The previous prime is 12256440206107. The next prime is 12256440206177. The reversal of 12256440206130 is 3160204465221.

12256440206130 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 6 + 440 + 206 + 1 + 3 + 0 = 666.

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, 2199709 + ... + 5417711.

It is an arithmetic number, because the mean of its divisors is an integer number (336032022690).

Almost surely, 212256440206130 is an apocalyptic number.

12256440206130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12256440206130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16129537089120).

12256440206130 is an abundant number, since it is smaller than the sum of its proper divisors (20002633972110).

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

12256440206130 is a wasteful number, since it uses less digits than its factorization.

12256440206130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218536 (or 3218533 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12256440206130 in words is "twelve trillion, two hundred fifty-six billion, four hundred forty million, two hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 419 505 606 838 909 1010 1257 1515 1818 2095 2514 3030 3771 4190 4545 6285 7542 9090 12570 18855 37710 42319 84638 126957 211595 253914 380871 423190 634785 761742 1269570 1904355 3218003 3808710 6436006 9654009 16090015 19308018 28962027 32180030 48270045 57924054 96540090 144810135 289620270 325018303 650036606 975054909 1348343257 1625091515 1950109818 2696686514 2925164727 3250183030 4045029771 4875274545 5850329454 6741716285 8090059542 9750549090 12135089313 13483432570 14625823635 20225148855 24270178626 29251647270 40450297710 60675446565 121350893130 136182668957 272365337914 408548006871 680913344785 817096013742 1225644020613 1361826689570 2042740034355 2451288041226 4085480068710 6128220103065 12256440206130