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1121111221212 = 22321929371527541
BaseRepresentation
bin10000010100000111011…
…011111010001111011100
310222011210011112220220200
4100110013123322033130
5121332013433034322
62215010440143500
7143666116101303
oct20240733721734
93864704486820
101121111221212
113a2508069a54
12161341a67b90
1381949762248
143c3951ad43a
151e26906c8ac
hex105076fa3dc

1121111221212 has 144 divisors (see below), whose sum is σ = 3169344141600. Its totient is φ = 332588229120.

The previous prime is 1121111221211. The next prime is 1121111221253. The reversal of 1121111221212 is 2121221111211.

It is a happy number.

1121111221212 is a `hidden beast` number, since 1 + 121 + 111 + 221 + 212 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121111221211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29839 + ... + 1497702.

Almost surely, 21121111221212 is an apocalyptic number.

1121111221212 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 1121111221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584672070800).

1121111221212 is an abundant number, since it is smaller than the sum of its proper divisors (2048232920388).

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

1121111221212 is a wasteful number, since it uses less digits than its factorization.

1121111221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527636 (or 1527631 counting only the distinct ones).

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

Adding to 1121111221212 its reverse (2121221111211), we get a palindrome (3242332332423).

The spelling of 1121111221212 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 37 38 57 58 74 76 87 111 114 116 148 171 174 222 228 261 333 342 348 444 522 551 666 684 703 1044 1073 1102 1332 1406 1653 2109 2146 2204 2812 3219 3306 4218 4292 4959 6327 6438 6612 8436 9657 9918 12654 12876 19314 19836 20387 25308 38628 40774 61161 81548 122322 183483 244644 366966 733932 1527541 3055082 4582623 6110164 9165246 13747869 18330492 27495738 29023279 44298689 54991476 56519017 58046558 87069837 88597378 113038034 116093116 132896067 169557051 174139674 177194756 226076068 261209511 265792134 339114102 348279348 398688201 508671153 522419022 531584268 678228204 797376402 841675091 1017342306 1044838044 1073861323 1594752804 1639051493 1683350182 2034684612 2147722646 2525025273 3221583969 3278102986 3366700364 4295445292 4917154479 5050050546 6443167938 6556205972 7575075819 9664751907 9834308958 10100101092 12886335876 14751463437 15150151638 19329503814 19668617916 29502926874 30300303276 31141978367 38659007628 59005853748 62283956734 93425935101 124567913468 186851870202 280277805303 373703740404 560555610606 1121111221212