Search a number
-
+
1231221111312 = 243139311841249
BaseRepresentation
bin10001111010101010011…
…111110011101000010000
311100200222220201220011110
4101322222133303220100
5130133020101030222
62341340513213320
7154644543525123
oct21725237635020
94320886656143
101231221111312
11435181246125
1217a751561240
138c14695647a
144383cbda3ba
1522060b2030c
hex11eaa7f3a10

1231221111312 has 40 divisors (see below), whose sum is σ = 3180884580000. Its totient is φ = 410377354240.

The previous prime is 1231221111293. The next prime is 1231221111317. The reversal of 1231221111312 is 2131111221321.

It is a super-2 number, since 2×12312211113122 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1231221111317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251937 + ... + 1589312.

It is an arithmetic number, because the mean of its divisors is an integer number (79522114500).

Almost surely, 21231221111312 is an apocalyptic number.

1231221111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1231221111312 is an abundant number, since it is smaller than the sum of its proper divisors (1949663468688).

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

1231221111312 is a wasteful number, since it uses less digits than its factorization.

1231221111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855191 (or 1855185 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

Adding to 1231221111312 its reverse (2131111221321), we get a palindrome (3362332332633).

The spelling of 1231221111312 in words is "one trillion, two hundred thirty-one billion, two hundred twenty-one million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 13931 27862 41793 55724 83586 111448 167172 222896 334344 668688 1841249 3682498 5523747 7364996 11047494 14729992 22094988 29459984 44189976 88379952 25650439819 51300879638 76951319457 102601759276 153902638914 205203518552 307805277828 410407037104 615610555656 1231221111312