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12234003120 = 2432541414431
BaseRepresentation
bin10110110010011010…
…00001001010110000
31011120121102202021200
423121031001022300
5200023401044440
65341545051200
7612112211403
oct133115011260
934517382250
1012234003120
115208859689
122455186b00
1311cc795c01
14840b31d3a
154b9094c30
hex2d93412b0

12234003120 has 120 divisors (see below), whose sum is σ = 42088056192. Its totient is φ = 3182822400.

The previous prime is 12234003109. The next prime is 12234003139. The reversal of 12234003120 is 2130043221.

12234003120 is a `hidden beast` number, since 12 + 2 + 340 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 12234003093 and 12234003102.

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, 177696 + ... + 236735.

Almost surely, 212234003120 is an apocalyptic number.

12234003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12234003120 is an abundant number, since it is smaller than the sum of its proper divisors (29854053072).

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

12234003120 is a wasteful number, since it uses less digits than its factorization.

12234003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414491 (or 414482 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12234003120 its reverse (2130043221), we get a palindrome (14364046341).

The spelling of 12234003120 in words is "twelve billion, two hundred thirty-four million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 414431 828862 1243293 1657724 2072155 2486586 3315448 3729879 4144310 4973172 6216465 6630896 7459758 8288620 9946344 12432930 14919516 16577240 16991671 18649395 19892688 24865860 29839032 33154480 33983342 37298790 49731720 50975013 59678064 67966684 74597580 84958355 99463440 101950026 135933368 149195160 152925039 169916710 203900052 254875065 271866736 298390320 305850078 339833420 407800104 509750130 611700156 679666840 764625195 815600208 1019500260 1223400312 1359333680 1529250390 2039000520 2446800624 3058500780 4078001040 6117001560 12234003120