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12402221213040 = 2435371567189123
BaseRepresentation
bin1011010001111001110111…
…1111010110010101110000
31121220122022010020210020220
42310132131333112111300
53111144222112304130
642213300214333040
72420013413633211
oct264363577262560
947818263223226
1012402221213040
113a5183060545a
12148377295a180
136bc6a8278b69
1430c3b0b81408
15167924826410
hexb479dfd6570

12402221213040 has 160 divisors (see below), whose sum is σ = 39488953545216. Its totient is φ = 3217632168960.

The previous prime is 12402221212993. The next prime is 12402221213069. The reversal of 12402221213040 is 4031212220421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12402221213040.

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, 139113919 + ... + 139203041.

Almost surely, 212402221213040 is an apocalyptic number.

12402221213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12402221213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19744476772608).

12402221213040 is an abundant number, since it is smaller than the sum of its proper divisors (27086732332176).

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

12402221213040 is a wasteful number, since it uses less digits than its factorization.

12402221213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104847 (or 104841 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12402221213040 its reverse (4031212220421), we get a palindrome (16433433433461).

The spelling of 12402221213040 in words is "twelve trillion, four hundred two billion, two hundred twenty-one million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 15671 31342 47013 62684 78355 89123 94026 125368 156710 178246 188052 235065 250736 267369 313420 356492 376104 445615 470130 534738 579827 626840 712984 752208 891230 940260 1069476 1159654 1253680 1336845 1425968 1739481 1782460 1880520 2138952 2319308 2673690 2899135 3297551 3478962 3564920 3761040 4277904 4638616 5347380 5798270 6595102 6957924 7129840 8697405 9277232 9892653 10694760 11596540 13190204 13915848 16487755 17394810 19785306 21389520 23193080 26380408 27831696 32975510 34789620 39570612 46386160 49463265 52760816 65951020 69579240 79141224 98926530 131902040 139158480 158282448 197853060 263804080 395706120 791412240 1396646533 2793293066 4189939599 5586586132 6983232665 8379879198 11173172264 13966465330 16759758396 20949697995 22346344528 27932930660 33519516792 41899395990 51675921721 55865861320 67039033584 83798791980 103351843442 111731722640 155027765163 167597583960 206703686884 258379608605 310055530326 335195167920 413407373768 516759217210 620111060652 775138825815 826814747536 1033518434420 1240222121304 1550277651630 2067036868840 2480444242608 3100555303260 4134073737680 6201110606520 12402221213040