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12053126474040 = 2335354145676211
BaseRepresentation
bin1010111101100101011001…
…0100100110100100111000
31120200021020002220121112010
42233121112110212210320
53034434300334132130
641345044014445520
72352544465414641
oct257312624464470
946607202817463
1012053126474040
11392777a7410a3
121427b878038a0
136957b30c6742
142d95356386c8
1515d7e1edd0b0
hexaf656526938

12053126474040 has 128 divisors (see below), whose sum is σ = 36183335569920. Its totient is φ = 3212038540800.

The previous prime is 12053126474021. The next prime is 12053126474057. The reversal of 12053126474040 is 4047462135021.

12053126474040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12053126474040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1940606535 + ... + 1940612745.

It is an arithmetic number, because the mean of its divisors is an integer number (282682309140).

Almost surely, 212053126474040 is an apocalyptic number.

12053126474040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12053126474040 is an abundant number, since it is smaller than the sum of its proper divisors (24130209095880).

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

12053126474040 is a wasteful number, since it uses less digits than its factorization.

12053126474040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14333 (or 14329 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 12053126474040 in words is "twelve trillion, fifty-three billion, one hundred twenty-six million, four hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3541 4567 6211 7082 9134 10623 12422 13701 14164 17705 18268 18633 21246 22835 24844 27402 28328 31055 35410 36536 37266 42492 45670 49688 53115 54804 62110 68505 70820 74532 84984 91340 93165 106230 109608 124220 137010 141640 149064 182680 186330 212460 248440 274020 372660 424920 548040 745320 16171747 21993151 28365637 32343494 43986302 48515241 56731274 64686988 65979453 80858735 85096911 87972604 97030482 109965755 113462548 129373976 131958906 141828185 161717470 170193822 175945208 194060964 219931510 226925096 242576205 263917812 283656370 323434940 329897265 340387644 388121928 425484555 439863020 485152410 527835624 567312740 646869880 659794530 680775288 850969110 879726040 970304820 1134625480 1319589060 1701938220 1940609640 2639178120 3403876440 100442720617 200885441234 301328161851 401770882468 502213603085 602656323702 803541764936 1004427206170 1205312647404 1506640809255 2008854412340 2410625294808 3013281618510 4017708824680 6026563237020 12053126474040