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12020540105632 = 2517316937128201
BaseRepresentation
bin1010111011101100000000…
…0001011110001110100000
31120120011010002220120200111
42232323000001132032200
53033421031231340012
641322054311501104
72350312122021262
oct256730001361640
946504102816614
1012020540105632
113914978573213
1214217b2687794
136926bbc52246
142d7b238d9b32
1515ca362c7ba7
hexaeec005e3a0

12020540105632 has 48 divisors (see below), whose sum is σ = 23803823787912. Its totient is φ = 5975129190400.

The previous prime is 12020540105627. The next prime is 12020540105663. The reversal of 12020540105632 is 23650104502021.

It can be written as a sum of positive squares in 4 ways, for example, as 11972734906896 + 47805198736 = 3460164^2 + 218644^2 .

It is a super-2 number, since 2×120205401056322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12020540105594 and 12020540105603.

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 7 ways as a sum of consecutive naturals, for example, 93699132 + ... + 93827332.

Almost surely, 212020540105632 is an apocalyptic number.

It is an amenable number.

12020540105632 is a deficient number, since it is larger than the sum of its proper divisors (11783283682280).

12020540105632 is a wasteful number, since it uses less digits than its factorization.

12020540105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145321 (or 145313 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 12020540105632 its reverse (23650104502021), we get a palindrome (35670644607653).

The spelling of 12020540105632 in words is "twelve trillion, twenty billion, five hundred forty million, one hundred five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 173 346 692 1384 2768 5536 16937 33874 67748 128201 135496 256402 270992 512804 541984 1025608 2051216 2930101 4102432 5860202 11720404 22178773 23440808 44357546 46881616 88715092 93763232 177430184 354860368 709720736 2171340337 4342680674 8685361348 17370722696 34741445392 69482890784 375641878301 751283756602 1502567513204 3005135026408 6010270052816 12020540105632