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12400410413220 = 22351765991842289
BaseRepresentation
bin1011010001110011001000…
…0011101100100010100100
31121220110121220220121212220
42310130302003230202210
53111132020031210340
642212400410512340
72416620505245354
oct264346203544244
947813556817786
1012400410413220
113a50a91444785
1214833484356b0
136bc47a07718b
1430c27c496b64
1516786a887ed0
hexb47320ec8a4

12400410413220 has 96 divisors (see below), whose sum is σ = 36769160736000. Its totient is φ = 3111786553344.

The previous prime is 12400410413219. The next prime is 12400410413249. The reversal of 12400410413220 is 2231401400421.

It is a super-2 number, since 2×124004104132202 (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5809836 + ... + 7652124.

It is an arithmetic number, because the mean of its divisors is an integer number (383012091000).

Almost surely, 212400410413220 is an apocalyptic number.

12400410413220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400410413220 is an abundant number, since it is smaller than the sum of its proper divisors (24368750322780).

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

12400410413220 is a wasteful number, since it uses less digits than its factorization.

12400410413220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848917 (or 1848915 counting only the distinct ones).

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

Adding to 12400410413220 its reverse (2231401400421), we get a palindrome (14631811813641).

The spelling of 12400410413220 in words is "twelve trillion, four hundred billion, four hundred ten million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 6599 13198 19797 26396 32995 39594 65990 79188 98985 112183 131980 197970 224366 336549 395940 448732 560915 673098 1121830 1346196 1682745 1842289 2243660 3365490 3684578 5526867 6730980 7369156 9211445 11053734 18422890 22107468 27634335 31318913 36845780 55268670 62637826 93956739 110537340 125275652 156594565 187913478 313189130 375826956 469783695 626378260 939567390 1879134780 12157265111 24314530222 36471795333 48629060444 60786325555 72943590666 121572651110 145887181332 182358976665 206673506887 243145302220 364717953330 413347013774 620020520661 729435906660 826694027548 1033367534435 1240041041322 2066735068870 2480082082644 3100102603305 4133470137740 6200205206610 12400410413220