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12253115013440 = 265729188625539
BaseRepresentation
bin1011001001001110011010…
…0100010101100101000000
31121101101102122122001000212
42302103212210111211000
53101223334420412230
642021000415133252
72403154420100060
oct262234644254500
947341378561025
1012253115013440
1139a4575a94824
12145a89b514228
136ab604c322a2
143050a7db53a0
15163ae944b895
hexb24e6915940

12253115013440 has 112 divisors (see below), whose sum is σ = 34495838755200. Its totient is φ = 4056203569152.

The previous prime is 12253115013389. The next prime is 12253115013457. The reversal of 12253115013440 is 4431051135221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12253115013397 and 12253115013406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94247810 + ... + 94377729.

Almost surely, 212253115013440 is an apocalyptic number.

12253115013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12253115013440 is an abundant number, since it is smaller than the sum of its proper divisors (22242723741760).

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

12253115013440 is a wasteful number, since it uses less digits than its factorization.

12253115013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188625592 (or 188625582 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 12253115013440 its reverse (4431051135221), we get a palindrome (16684166148661).

The spelling of 12253115013440 in words is "twelve trillion, two hundred fifty-three billion, one hundred fifteen million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 203 224 232 280 290 320 406 448 464 560 580 812 928 1015 1120 1160 1624 1856 2030 2240 2320 3248 4060 4640 6496 8120 9280 12992 16240 32480 64960 188625539 377251078 754502156 943127695 1320378773 1509004312 1886255390 2640757546 3018008624 3772510780 5281515092 5470140631 6036017248 6601893865 7545021560 10563030184 10940281262 12072034496 13203787730 15090043120 21126060368 21880562524 26407575460 27350703155 30180086240 38290984417 42252120736 43761125048 52815150920 54701406310 60360172480 76581968834 84504241472 87522250096 105630301840 109402812620 153163937668 175044500192 191454922085 211260603680 218805625240 306327875336 350089000384 382909844170 422521207360 437611250480 612655750672 765819688340 875222500960 1225311501344 1531639376680 1750445001920 2450623002688 3063278753360 6126557506720 12253115013440