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1121131012212 = 22321069161318061
BaseRepresentation
bin10000010100001000100…
…111011010000001110100
310222011211112210102001200
4100110020213122001310
5121332034014342322
62215012424252500
7143666446240101
oct20241047320164
93864745712050
101121131012212
113a2518257252
12161348611130
13819508a14b3
143c397a81aa8
151e26ab7b8ac
hex105089da074

1121131012212 has 72 divisors (see below), whose sum is σ = 2838536861160. Its totient is φ = 373108619520.

The previous prime is 1121131012193. The next prime is 1121131012217. The reversal of 1121131012212 is 2122101311211.

It is a happy number.

1121131012212 is a `hidden beast` number, since 11 + 211 + 310 + 122 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 364919895396 + 756211116816 = 604086^2 + 869604^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121131012217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62065662 + ... + 62083722.

Almost surely, 21121131012212 is an apocalyptic number.

1121131012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121131012212 is an abundant number, since it is smaller than the sum of its proper divisors (1717405848948).

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

1121131012212 is a wasteful number, since it uses less digits than its factorization.

1121131012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20753 (or 20748 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1121131012212 its reverse (2122101311211), we get a palindrome (3243232323423).

The spelling of 1121131012212 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-one million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1069 1613 2138 3207 3226 4276 4839 6414 6452 9621 9678 12828 14517 18061 19242 19356 29034 36122 38484 54183 58068 72244 108366 162549 216732 325098 650196 1724297 3448594 5172891 6897188 10345782 15518673 19307209 20691564 29132393 31037346 38614418 57921627 58264786 62074692 77228836 87397179 115843254 116529572 173764881 174794358 231686508 262191537 347529762 349588716 524383074 695059524 1048766148 31142528117 62285056234 93427584351 124570112468 186855168702 280282753053 373710337404 560565506106 1121131012212