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123412214321 = 1121153172001
BaseRepresentation
bin111001011101111110…
…0001111001000110001
3102210112210212001120122
41302323330033020301
54010222011324241
6132410024020025
711626161341054
oct1627374171061
9383483761518
10123412214321
114837aa83260
121bb02601615
13b83a0c88b6
145d8a5b2a9b
15332482204b
hex1cbbf0f231

123412214321 has 8 divisors (see below), whose sum is σ = 135269573088. Its totient is φ = 111661200000.

The previous prime is 123412214311. The next prime is 123412214347.

It is a happy number.

123412214321 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 123412214321 - 230 = 122338472497 is a prime.

It is a super-2 number, since 2×1234122143212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123412214311) 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, 26583680 + ... + 26588321.

It is an arithmetic number, because the mean of its divisors is an integer number (16908696636).

Almost surely, 2123412214321 is an apocalyptic number.

123412214321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123412214321 is a deficient number, since it is larger than the sum of its proper divisors (11857358767).

123412214321 is a wasteful number, since it uses less digits than its factorization.

123412214321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53172223.

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 123412 and 214321, that added together give a palindrome (337733).

The spelling of 123412214321 in words is "one hundred twenty-three billion, four hundred twelve million, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 11 211 2321 53172001 584892011 11219292211 123412214321