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12213332321020 = 22523292879318007
BaseRepresentation
bin1011000110111010001101…
…0101011010001011111100
31121020120202010110212111021
42301232203111122023330
53100100401033233040
641550421042033524
72400245521560055
oct261564325321374
947216663425437
1012213332321020
113989710770126
1214530383488a4
136a7934bb6abc
143031b261372c
15162a6ba8c24a
hexb1ba355a2fc

12213332321020 has 96 divisors (see below), whose sum is σ = 27695698329600. Its totient is φ = 4510210408704.

The previous prime is 12213332320999. The next prime is 12213332321041. The reversal of 12213332321020 is 2012323331221.

It is an interprime number because it is at equal distance from previous prime (12213332320999) and next prime (12213332321041).

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, 38246857 + ... + 38564863.

It is an arithmetic number, because the mean of its divisors is an integer number (288496857600).

Almost surely, 212213332321020 is an apocalyptic number.

12213332321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213332321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847849164800).

12213332321020 is an abundant number, since it is smaller than the sum of its proper divisors (15482366008580).

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

12213332321020 is a wasteful number, since it uses less digits than its factorization.

12213332321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320947 (or 320945 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12213332321020 its reverse (2012323331221), we get a palindrome (14225655652241).

It can be divided in two parts, 12213 and 332321020, that added together give a palindrome (332333233).

The spelling of 12213332321020 in words is "twelve trillion, two hundred thirteen billion, three hundred thirty-two million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 2879 3335 5758 6670 11516 13340 14395 28790 57580 66217 83491 132434 166982 264868 318007 331085 333964 417455 636014 662170 834910 1272028 1324340 1590035 1669820 1920293 3180070 3840586 6360140 7314161 7681172 9222203 9601465 14628322 18444406 19202930 29256644 36570805 36888812 38405860 46111015 73141610 92222030 146283220 184444060 212110669 424221338 848442676 915542153 1060553345 1831084306 2121106690 3662168612 4242213380 4577710765 9155421530 18310843060 21057469519 26550722437 42114939038 53101444874 84229878076 105287347595 106202889748 132753612185 210574695190 265507224370 421149390380 531014448740 610666616051 1221333232102 2442666464204 3053333080255 6106666160510 12213332321020