Search a number
-
+
1121111212212 = 2232101443696019
BaseRepresentation
bin10000010100000111011…
…011111000000010110100
310222011210011112110120100
4100110013123320002310
5121332013432242322
62215010440034100
7143666116033125
oct20240733700264
93864704473510
101121111212212
113a2508063212
12161341a62930
138194975b114
143c3951aa04c
151e269069dac
hex105076f80b4

1121111212212 has 72 divisors (see below), whose sum is σ = 2868443192160. Its totient is φ = 369167947200.

The previous prime is 1121111212201. The next prime is 1121111212219. The reversal of 1121111212212 is 2122121111211.

It is a happy number.

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 (1121111212219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1262739 + ... + 1958757.

It is an arithmetic number, because the mean of its divisors is an integer number (39839488780).

Almost surely, 21121111212212 is an apocalyptic number.

1121111212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121111212212 is an abundant number, since it is smaller than the sum of its proper divisors (1747331979948).

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

1121111212212 is a wasteful number, since it uses less digits than its factorization.

1121111212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696573 (or 696568 counting only the distinct ones).

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

Adding to 1121111212212 its reverse (2122121111211), we get a palindrome (3243232323423).

The spelling of 1121111212212 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 443 606 886 909 1212 1329 1772 1818 2658 3636 3987 5316 7974 15948 44743 89486 134229 178972 268458 402687 536916 696019 805374 1392038 1610748 2088057 2784076 4176114 6264171 8352228 12528342 25056684 70297919 140595838 210893757 281191676 308336417 421787514 616672834 632681271 843575028 925009251 1233345668 1265362542 1850018502 2530725084 2775027753 3700037004 5550055506 11100111012 31141978117 62283956234 93425934351 124567912468 186851868702 280277803053 373703737404 560555606106 1121111212212