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12120011212110 = 2356595449112507
BaseRepresentation
bin1011000001011110100011…
…1101101000010101001110
31120220122212102100100102020
42300113220331220111032
53042033240332241420
641435504542511010
72360433114333204
oct260275075502516
946818772310366
1012120011212110
1139530823a782a
121438b33295466
1369bbb2001429
142dc87c603074
15160408d8d340
hexb05e8f6854e

12120011212110 has 64 divisors (see below), whose sum is σ = 29137771872000. Its totient is φ = 3226477669632.

The previous prime is 12120011212021. The next prime is 12120011212223. The reversal of 12120011212110 is 1121211002121.

It is a happy number.

12120011212110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121200112121102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120011212110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107670477 + ... + 107782983.

It is an arithmetic number, because the mean of its divisors is an integer number (455277685500).

Almost surely, 212120011212110 is an apocalyptic number.

12120011212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120011212110 is an abundant number, since it is smaller than the sum of its proper divisors (17017760659890).

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

12120011212110 is a wasteful number, since it uses less digits than its factorization.

12120011212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118625.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12120011212110 its reverse (1121211002121), we get a palindrome (13241222214231).

The spelling of 12120011212110 in words is "twelve trillion, one hundred twenty billion, eleven million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 659 1318 1977 3295 3954 5449 6590 9885 10898 16347 19770 27245 32694 54490 81735 112507 163470 225014 337521 562535 675042 1125070 1687605 3375210 3590891 7181782 10772673 17954455 21545346 35908910 53863365 74142113 107726730 148284226 222426339 370710565 444852678 613050643 741421130 1112131695 1226101286 1839151929 2224263390 3065253215 3678303858 6130506430 9195759645 18391519290 404000373737 808000747474 1212001121211 2020001868685 2424002242422 4040003737370 6060005606055 12120011212110