Search a number
-
+
12420131040400 = 2452315916976669
BaseRepresentation
bin1011010010111100100101…
…1111111010110010010000
31121222100112021202021200011
42310233021133322302100
53111442412021243100
642225421320204304
72421216265643266
oct264571137726220
947870467667604
1012420131040400
113a593911a8876
121487130909694
136c12a08c6a45
1430d1cd618436
15168121d1bbba
hexb4bc97fac90

12420131040400 has 120 divisors (see below), whose sum is σ = 31323993350400. Its totient is φ = 4726304371200.

The previous prime is 12420131040389. The next prime is 12420131040403. The reversal of 12420131040400 is 404013102421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12420131040403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7756735 + ... + 9219934.

It is an arithmetic number, because the mean of its divisors is an integer number (261033277920).

Almost surely, 212420131040400 is an apocalyptic number.

12420131040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420131040400 is an abundant number, since it is smaller than the sum of its proper divisors (18903862310000).

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

12420131040400 is a wasteful number, since it uses less digits than its factorization.

12420131040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16976777 (or 16976766 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12420131040400 its reverse (404013102421), we get a palindrome (12824144142821).

The spelling of 12420131040400 in words is "twelve trillion, four hundred twenty billion, one hundred thirty-one million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 59 62 80 100 118 124 155 200 236 248 295 310 400 472 496 590 620 775 944 1180 1240 1475 1550 1829 2360 2480 2950 3100 3658 4720 5900 6200 7316 9145 11800 12400 14632 18290 23600 29264 36580 45725 73160 91450 146320 182900 365800 731600 16976669 33953338 67906676 84883345 135813352 169766690 271626704 339533380 424416725 526276739 679066760 848833450 1001623471 1052553478 1358133520 1697666900 2003246942 2105106956 2631383695 3395333800 4006493884 4210213912 5008117355 5262767390 6790667600 8012987768 8420427824 10016234710 10525534780 13156918475 16025975536 20032469420 21051069560 25040586775 26313836950 31050327601 40064938840 42102139120 50081173550 52627673900 62100655202 80129877680 100162347100 105255347800 124201310404 155251638005 200324694200 210510695600 248402620808 310503276010 400649388400 496805241616 621006552020 776258190025 1242013104040 1552516380050 2484026208080 3105032760100 6210065520200 12420131040400