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12121201111122 = 236171879260263
BaseRepresentation
bin1011000001100010111111…
…1000101111000001010010
31120220202221100100111000000
42300120233320233001102
53042043204441023442
641440223010310430
72360504443321425
oct260305770570122
946822840314000
1012121201111122
113953633034544
121439205888416
1369c04169a09c
142dc9526639bc
15160478580d4c
hexb062fe2f052

12121201111122 has 112 divisors (see below), whose sum is σ = 28879247399040. Its totient is φ = 3800691351936.

The previous prime is 12121201111087. The next prime is 12121201111127. The reversal of 12121201111122 is 22111110212121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12121201111095 and 12121201111104.

It is not an unprimeable number, because it can be changed into a prime (12121201111127) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46442763 + ... + 46703025.

Almost surely, 212121201111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121201111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439623699520).

12121201111122 is an abundant number, since it is smaller than the sum of its proper divisors (16758046287918).

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

12121201111122 is a wasteful number, since it uses less digits than its factorization.

12121201111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262179 (or 262164 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12121201111122 its reverse (22111110212121), we get a palindrome (34232311323243).

The spelling of 12121201111122 in words is "twelve trillion, one hundred twenty-one billion, two hundred one million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 1879 2754 3758 4131 5637 8262 11274 12393 16911 24786 31943 33822 50733 63886 95829 101466 152199 191658 260263 287487 304398 456597 520526 574974 780789 862461 913194 1369791 1561578 1724922 2342367 2587383 2739582 4424471 4684734 5174766 7027101 7762149 8848942 13273413 14054202 15524298 21081303 23286447 26546826 39820239 42162606 46572894 63243909 79640478 119460717 126487818 189731727 238921434 358382151 379463454 489034177 716764302 978068354 1075146453 1467102531 2150292906 2934205062 3225439359 4401307593 6450878718 8313581009 8802615186 13203922779 16627162018 24940743027 26407845558 39611768337 49881486054 74822229081 79223536674 118835305011 149644458162 224466687243 237670610022 356505915033 448933374486 673400061729 713011830066 1346800123458 2020200185187 4040400370374 6060600555561 12121201111122