Search a number
-
+
1122122210112 = 2633967671537
BaseRepresentation
bin10000010101000011101…
…100100001101101000000
310222021101121220110222000
4100111003230201231000
5121341101241210422
62215255033144000
7144033143260641
oct20250354415500
93867347813860
101122122210112
113a2986808972
1216158455b000
1381a7b049127
143c44d57b6c8
151e2c7bbecac
hex10543b21b40

1122122210112 has 112 divisors (see below), whose sum is σ = 3302247822720. Its totient is φ = 373653374976.

The previous prime is 1122122210107. The next prime is 1122122210123. The reversal of 1122122210112 is 2110122212211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335208 + ... + 2006744.

It is an arithmetic number, because the mean of its divisors is an integer number (29484355560).

Almost surely, 21122122210112 is an apocalyptic number.

1122122210112 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 1122122210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651123911360).

1122122210112 is an abundant number, since it is smaller than the sum of its proper divisors (2180125612608).

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

1122122210112 is an equidigital number, since it uses as much as digits as its factorization.

1122122210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672525 (or 672509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1122122210112 its reverse (2110122212211), we get a palindrome (3232244422323).

The spelling of 1122122210112 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 967 1728 1934 2901 3868 5802 7736 8703 11604 15472 17406 23208 26109 30944 34812 46416 52218 61888 69624 92832 104436 139248 185664 208872 278496 417744 556992 671537 835488 1343074 1670976 2014611 2686148 4029222 5372296 6043833 8058444 10744592 12087666 16116888 18131499 21489184 24175332 32233776 36262998 42978368 48350664 64467552 72525996 96701328 128935104 145051992 193402656 290103984 386805312 580207968 649376279 1160415936 1298752558 1948128837 2597505116 3896257674 5195010232 5844386511 7792515348 10390020464 11688773022 15585030696 17533159533 20780040928 23377546044 31170061392 35066319066 41560081856 46755092088 62340122784 70132638132 93510184176 124680245568 140265276264 187020368352 280530552528 374040736704 561061105056 1122122210112