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12210400323440 = 2451113875454913
BaseRepresentation
bin1011000110101111010010…
…0100101110011101110000
31121020022011210101221221022
42301223310210232131300
53100023344440322230
641545214103115012
72400113050161134
oct261536444563560
947208153357838
1012210400323440
113988446726a30
12145255a442a68
136a7588621aa7
14302db506d3c4
1516294947c1e5
hexb1af492e770

12210400323440 has 40 divisors (see below), whose sum is σ = 30970015368048. Its totient is φ = 4440145571840.

The previous prime is 12210400323421. The next prime is 12210400323467. The reversal of 12210400323440 is 4432300401221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×122104003234402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6937726577 + ... + 6937728336.

Almost surely, 212210400323440 is an apocalyptic number.

12210400323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210400323440 is an abundant number, since it is smaller than the sum of its proper divisors (18759615044608).

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

12210400323440 is a wasteful number, since it uses less digits than its factorization.

12210400323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13875454937 (or 13875454931 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12210400323440 its reverse (4432300401221), we get a palindrome (16642700724661).

The spelling of 12210400323440 in words is "twelve trillion, two hundred ten billion, four hundred million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 13875454913 27750909826 55501819652 69377274565 111003639304 138754549130 152630004043 222007278608 277509098260 305260008086 555018196520 610520016172 763150020215 1110036393040 1221040032344 1526300040430 2442080064688 3052600080860 6105200161720 12210400323440