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121444212312 = 233219233859783
BaseRepresentation
bin111000100011010100…
…0111001111001011000
3102121110122201012100100
41301012220321321120
53442204204243222
6131442442535400
711526333525633
oct1610650717130
9377418635310
10121444212312
1147560101215
121b653507560
13b5b5475a77
145c41086c1a
15325bb804ac
hex1c46a39e58

121444212312 has 96 divisors (see below), whose sum is σ = 361275782400. Its totient is φ = 36683368128.

The previous prime is 121444212299. The next prime is 121444212367. The reversal of 121444212312 is 213212444121.

121444212312 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 421 + 231 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1898428 + ... + 1961355.

It is an arithmetic number, because the mean of its divisors is an integer number (3763289400).

Almost surely, 2121444212312 is an apocalyptic number.

121444212312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121444212312 is an abundant number, since it is smaller than the sum of its proper divisors (239831570088).

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

121444212312 is a wasteful number, since it uses less digits than its factorization.

121444212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859837 (or 3859830 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 121444212312 its reverse (213212444121), we get a palindrome (334656656433).

The spelling of 121444212312 in words is "one hundred twenty-one billion, four hundred forty-four million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 414 437 456 552 684 828 874 1311 1368 1656 1748 2622 3496 3933 5244 7866 10488 15732 31464 3859783 7719566 11579349 15439132 23158698 30878264 34738047 46317396 69476094 73335877 88775009 92634792 138952188 146671754 177550018 220007631 266325027 277904376 293343508 355100036 440015262 532650054 586687016 660022893 710200072 798975081 880030524 1065300108 1320045786 1597950162 1686725171 1760061048 2130600216 2640091572 3195900324 3373450342 5060175513 5280183144 6391800648 6746900684 10120351026 13493801368 15180526539 20240702052 30361053078 40481404104 60722106156 121444212312