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12213312131400 = 2335220355520219
BaseRepresentation
bin1011000110111010001000…
…1000011001000101001000
31121020120200201111010112120
42301232202020121011020
53100100330401201100
641550415041211240
72400245155141152
oct261564210310510
947216621433476
1012213312131400
113989700330396
121453031630b20
136a7930968293
143031ada79ad2
15162a69e000a0
hexb1ba2219148

12213312131400 has 48 divisors (see below), whose sum is σ = 37861267609200. Its totient is φ = 3256883234880.

The previous prime is 12213312131399. The next prime is 12213312131467. The reversal of 12213312131400 is 413121331221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10177759510 + ... + 10177760709.

It is an arithmetic number, because the mean of its divisors is an integer number (788776408525).

Almost surely, 212213312131400 is an apocalyptic number.

12213312131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213312131400 is an abundant number, since it is smaller than the sum of its proper divisors (25647955477800).

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

12213312131400 is a wasteful number, since it uses less digits than its factorization.

12213312131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20355520238 (or 20355520229 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12213312131400 its reverse (413121331221), we get a palindrome (12626433462621).

The spelling of 12213312131400 in words is "twelve trillion, two hundred thirteen billion, three hundred twelve million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20355520219 40711040438 61066560657 81422080876 101777601095 122133121314 162844161752 203555202190 244266242628 305332803285 407110404380 488532485256 508888005475 610665606570 814220808760 1017776010950 1221331213140 1526664016425 2035552021900 2442662426280 3053328032850 4071104043800 6106656065700 12213312131400