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12212102313120 = 253525441879819
BaseRepresentation
bin1011000110110101101000…
…0001010011010010100000
31121020110120101222222212010
42301231122001103102200
53100040341143004440
641550055022432520
72400203164641153
oct261553201232240
947213511888763
1012212102313120
11398913a428a76
121452954432740
136a779a116b88
143030d7111c9a
151629e8ac5580
hexb1b5a0534a0

12212102313120 has 48 divisors (see below), whose sum is σ = 38468122287840. Its totient is φ = 3256560616704.

The previous prime is 12212102313119. The next prime is 12212102313121. The reversal of 12212102313120 is 2131320121221.

It is an interprime number because it is at equal distance from previous prime (12212102313119) and next prime (12212102313121).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122121023131202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12212102313121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12720939430 + ... + 12720940389.

It is an arithmetic number, because the mean of its divisors is an integer number (801419214330).

Almost surely, 212212102313120 is an apocalyptic number.

12212102313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212102313120 is an abundant number, since it is smaller than the sum of its proper divisors (26256019974720).

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

12212102313120 is a wasteful number, since it uses less digits than its factorization.

12212102313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25441879837 (or 25441879829 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12212102313120 its reverse (2131320121221), we get a palindrome (14343422434341).

The spelling of 12212102313120 in words is "twelve trillion, two hundred twelve billion, one hundred two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25441879819 50883759638 76325639457 101767519276 127209399095 152651278914 203535038552 254418798190 305302557828 381628197285 407070077104 508837596380 610605115656 763256394570 814140154208 1017675192760 1221210231312 1526512789140 2035350385520 2442420462624 3053025578280 4070700771040 6106051156560 12212102313120