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121201012212 = 223779181100907
BaseRepresentation
bin111000011100000100…
…1001010110111110100
3102120211201002100112020
41300320021022313310
53441204424342322
6131402354153140
711520321414510
oct1607011126764
9376751070466
10121201012212
11474458a23a5
121b5a5b827b0
13b576c74497
145c1aa5b140
15324564105c
hex1c3824adf4

121201012212 has 96 divisors (see below), whose sum is σ = 329105387520. Its totient is φ = 34001285760.

The previous prime is 121201012199. The next prime is 121201012223. The reversal of 121201012212 is 212210102121.

It is a super-2 number, since 2×1212010122122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121201012191 and 121201012200.

It is a congruent number.

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, 1150663 + ... + 1251569.

It is an arithmetic number, because the mean of its divisors is an integer number (3428181120).

Almost surely, 2121201012212 is an apocalyptic number.

121201012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121201012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164552693760).

121201012212 is an abundant number, since it is smaller than the sum of its proper divisors (207904375308).

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

121201012212 is a wasteful number, since it uses less digits than its factorization.

121201012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101181 (or 101179 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121201012212 its reverse (212210102121), we get a palindrome (333411114333).

The spelling of 121201012212 in words is "one hundred twenty-one billion, two hundred one million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 181 237 316 362 474 543 553 724 948 1086 1106 1267 1659 2172 2212 2534 3318 3801 5068 6636 7602 14299 15204 28598 42897 57196 85794 100093 100907 171588 200186 201814 300279 302721 400372 403628 600558 605442 706349 1201116 1210884 1412698 2119047 2825396 4238094 7971653 8476188 15943306 18264167 23914959 31886612 36528334 47829918 54792501 55801571 73056668 95659836 109585002 111603142 127849169 167404713 219170004 223206284 255698338 334809426 383547507 511396676 669618852 767095014 1442869193 1534190028 2885738386 4328607579 5771476772 8657215158 10100084351 17314430316 20200168702 30300253053 40400337404 60600506106 121201012212