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12221213300 = 22521723312563
BaseRepresentation
bin10110110000111000…
…01110101001110100
31011112201100221221122
423120130032221310
5200012112311200
65340411003112
7611565412322
oct133034165164
934481327848
1012221213300
11520161348a
122450a39498
1311c9c3857a
1483d162d12
154b7dba385
hex2d870ea74

12221213300 has 72 divisors (see below), whose sum is σ = 29300999616. Its totient is φ = 4400872960.

The previous prime is 12221213219. The next prime is 12221213339. The reversal of 12221213300 is 331212221.

12221213300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 117182 + ... + 195381.

It is an arithmetic number, because the mean of its divisors is an integer number (406958328).

Almost surely, 212221213300 is an apocalyptic number.

12221213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221213300 is an abundant number, since it is smaller than the sum of its proper divisors (17079786316).

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

12221213300 is a wasteful number, since it uses less digits than its factorization.

12221213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312617 (or 312610 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12221213300 its reverse (331212221), we get a palindrome (12552425521).

The spelling of 12221213300 in words is "twelve billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 340 391 425 460 575 782 850 1150 1564 1700 1955 2300 3910 7820 9775 19550 39100 312563 625126 1250252 1562815 3125630 5313571 6251260 7188949 7814075 10627142 14377898 15628150 21254284 26567855 28755796 31256300 35944745 53135710 71889490 106271420 122212133 132839275 143778980 179723725 244424266 265678550 359447450 488848532 531357100 611060665 718894900 1222121330 2444242660 3055303325 6110606650 12221213300