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12240948419892 = 2233613076052337
BaseRepresentation
bin1011001000100001000101…
…1000011101110100110100
31121100020000202001001022000
42302020101120131310310
53101023430243414032
642011225234535300
72402244053542623
oct262102130356464
947306022031260
1012240948419892
11399a3a2297a35
121458464a37530
136aa41640baca
143046721cd6ba
1516363626ee7c
hexb221161dd34

12240948419892 has 96 divisors (see below), whose sum is σ = 32361125005440. Its totient is φ = 4000352002560.

The previous prime is 12240948419771. The next prime is 12240948419933. The reversal of 12240948419892 is 29891484904221.

12240948419892 is a `hidden beast` number, since 1 + 2 + 2 + 40 + 94 + 8 + 419 + 8 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003653 + ... + 5048684.

It is an arithmetic number, because the mean of its divisors is an integer number (337095052140).

Almost surely, 212240948419892 is an apocalyptic number.

12240948419892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12240948419892 is an abundant number, since it is smaller than the sum of its proper divisors (20120176585548).

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

12240948419892 is a wasteful number, since it uses less digits than its factorization.

12240948419892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052718 (or 6052710 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 12240948419892 in words is "twelve trillion, two hundred forty billion, nine hundred forty-eight million, four hundred nineteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 307 366 549 614 732 921 1098 1228 1647 1842 2196 2763 3294 3684 5526 6588 8289 11052 16578 18727 33156 37454 56181 74908 112362 168543 224724 337086 505629 674172 1011258 2022516 6052337 12104674 18157011 24209348 36314022 54471033 72628044 108942066 163413099 217884132 326826198 369192557 653652396 738385114 1107577671 1476770228 1858067459 2215155342 3322733013 3716134918 4430310684 5574202377 6645466026 7432269836 9968199039 11148404754 13290932052 16722607131 19936398078 22296809508 33445214262 39872796156 50167821393 66890428524 100335642786 113342114999 200671285572 226684229998 340026344997 453368459996 680052689994 1020079034991 1360105379988 2040158069982 3060237104973 4080316139964 6120474209946 12240948419892