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12211102010020 = 22513755769111579
BaseRepresentation
bin1011000110110001111001…
…1001011100101010100100
31121020100222200202022222011
42301230132121130222210
53100031314103310040
641545411450444004
72400136330335454
oct261543631345244
947210880668864
1012211102010020
1139887768184a1
121452715433604
136a766ab01a54
14303040325d64
1516298ad843ea
hexb1b1e65caa4

12211102010020 has 96 divisors (see below), whose sum is σ = 25916552484480. Its totient is φ = 4832660904960.

The previous prime is 12211102010017. The next prime is 12211102010033. The reversal of 12211102010020 is 2001020111221.

12211102010020 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 2×122111020100202 (a number of 27 digits) contains 22 as substring.

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, 1054584591 + ... + 1054596169.

It is an arithmetic number, because the mean of its divisors is an integer number (269964088380).

Almost surely, 212211102010020 is an apocalyptic number.

12211102010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211102010020 is an abundant number, since it is smaller than the sum of its proper divisors (13705450474460).

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

12211102010020 is a wasteful number, since it uses less digits than its factorization.

12211102010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12973 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12211102010020 its reverse (2001020111221), we get a palindrome (14212122121241).

The spelling of 12211102010020 in words is "twelve trillion, two hundred eleven billion, one hundred two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 137 274 548 557 685 691 1114 1370 1382 2228 2740 2764 2785 3455 5570 6910 11140 11579 13820 23158 46316 57895 76309 94667 115790 152618 189334 231580 305236 378668 381545 384887 473335 763090 769774 946670 1526180 1539548 1586323 1893340 1924435 3172646 3848870 6345292 6449503 7697740 7931615 8001089 12899006 15863230 16002178 25798012 31726460 32004356 32247515 40005445 52729519 64495030 80010890 105459038 128990060 160021780 210918076 263647595 527295190 883581911 1054590380 1096149193 1767163822 2192298386 3534327644 4384596772 4417909555 4456606573 5480745965 8835819110 8913213146 10961491930 17671638220 17826426292 21922983860 22283032865 44566065730 89132131460 610555100501 1221110201002 2442220402004 3052775502505 6105551005010 12211102010020