Search a number
-
+
12101210200112 = 2411233852734607
BaseRepresentation
bin1011000000011000100001…
…0101011101100000110000
31120211212100010220222111112
42300012020111131200300
53041231234302400422
641423115203532452
72356166161351145
oct260061025354060
946755303828445
1012101210200112
113946104753190
12143536698a128
1369a1a6b55467
142db9b76663cc
1515eba850cee2
hexb018855d830

12101210200112 has 80 divisors (see below), whose sum is σ = 25691087665152. Its totient is φ = 5476142031360.

The previous prime is 12101210200109. The next prime is 12101210200127. The reversal of 12101210200112 is 21100201210121.

It is a super-2 number, since 2×121012102001122 (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 15 ways as a sum of consecutive naturals, for example, 349657913 + ... + 349692519.

Almost surely, 212101210200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101210200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845543832576).

12101210200112 is an abundant number, since it is smaller than the sum of its proper divisors (13589877465040).

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

12101210200112 is a wasteful number, since it uses less digits than its factorization.

12101210200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43386 (or 43380 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12101210200112 its reverse (21100201210121), we get a palindrome (33201411410233).

The spelling of 12101210200112 in words is "twelve trillion, one hundred one billion, two hundred ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 233 466 932 1864 2563 3728 5126 8527 10252 17054 20504 34108 34607 41008 68216 69214 93797 136432 138428 187594 276856 375188 380677 553712 750376 761354 1500752 1522708 1986791 3045416 3973582 6090832 7947164 8063431 15894328 16126862 21854701 31788656 32253724 43709402 64507448 87418804 88697741 129014896 174837608 177395482 295093889 349675216 354790964 590187778 709581928 1180375556 1419163856 2360751112 3246032779 4721502224 6492065558 12984131116 25968262232 51936524464 68756876137 137513752274 275027504548 550055009096 756325637507 1100110018192 1512651275014 3025302550028 6050605100056 12101210200112