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12121110222100 = 22521111019191111
BaseRepresentation
bin1011000001100010101001…
…1110000001010100010100
31120220202201000022211200221
42300120222132001110110
53042043013204101400
641440210002244124
72360502260634025
oct260305236012424
946822630284627
1012121110222100
1139535967a6250
12143919b356644
1369c0288c65b9
142dc944564c4c
151604705cac1a
hexb062a781514

12121110222100 has 36 divisors (see below), whose sum is σ = 28693973655648. Its totient is φ = 4407676444000.

The previous prime is 12121110222079. The next prime is 12121110222107. The reversal of 12121110222100 is 122201112121.

It is a super-2 number, since 2×121211102221002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121110222107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5509594456 + ... + 5509596655.

It is an arithmetic number, because the mean of its divisors is an integer number (797054823768).

Almost surely, 212121110222100 is an apocalyptic number.

12121110222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121110222100 is an abundant number, since it is smaller than the sum of its proper divisors (16572863433548).

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

12121110222100 is a wasteful number, since it uses less digits than its factorization.

12121110222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11019191136 (or 11019191129 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12121110222100 its reverse (122201112121), we get a palindrome (12243311334221).

The spelling of 12121110222100 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 11019191111 22038382222 44076764444 55095955555 110191911110 121211102221 220383822220 242422204442 275479777775 484844408884 550959555550 606055511105 1101919111100 1212111022210 2424222044420 3030277555525 6060555111050 12121110222100