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1221110112 = 253233714947
BaseRepresentation
bin100100011001000…
…1010100101100000
310011002201211011110
41020302022211200
510000101010422
6321100343320
742155156535
oct11062124540
93132654143
101221110112
11577315112
122a0b44b40
13165ca5c81
14b8266d8c
157230a60c
hex48c8a960

1221110112 has 96 divisors (see below), whose sum is σ = 3435409152. Its totient is φ = 378791424.

The previous prime is 1221110101. The next prime is 1221110123. The reversal of 1221110112 is 2110111221.

It is an interprime number because it is at equal distance from previous prime (1221110101) and next prime (1221110123).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12211101122 = 2982219811257305088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74223 + ... + 89169.

It is an arithmetic number, because the mean of its divisors is an integer number (35785512).

Almost surely, 21221110112 is an apocalyptic number.

1221110112 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 1221110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717704576).

1221110112 is an abundant number, since it is smaller than the sum of its proper divisors (2214299040).

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

1221110112 is a wasteful number, since it uses less digits than its factorization.

1221110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1221110112 is about 34944.3859868792. The cubic root of 1221110112 is about 1068.8537268909.

Adding to 1221110112 its reverse (2110111221), we get a palindrome (3331221333).

The spelling of 1221110112 in words is "one billion, two hundred twenty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 69 74 92 96 111 138 148 184 222 276 296 368 444 552 592 736 851 888 1104 1184 1702 1776 2208 2553 3404 3552 5106 6808 10212 13616 14947 20424 27232 29894 40848 44841 59788 81696 89682 119576 179364 239152 343781 358728 478304 553039 687562 717456 1031343 1106078 1375124 1434912 1659117 2062686 2212156 2750248 3318234 4125372 4424312 5500496 6636468 8250744 8848624 11000992 12719897 13272936 16501488 17697248 25439794 26545872 33002976 38159691 50879588 53091744 76319382 101759176 152638764 203518352 305277528 407036704 610555056 1221110112