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123220112312 = 231173101189913
BaseRepresentation
bin111001011000001111…
…1011011001110111000
3102210001102101021011102
41302300133123032320
54004323322043222
6132335002350532
711621336446643
oct1626037331670
9383042337142
10123220112312
11482915a5170
121ba6a1bb448
13b80937847b
145d6cc88a5a
153312a27d92
hex1cb07db3b8

123220112312 has 64 divisors (see below), whose sum is σ = 258024756960. Its totient is φ = 54694656000.

The previous prime is 123220112263. The next prime is 123220112333. The reversal of 123220112312 is 213211022321.

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, 553868 + ... + 743780.

Almost surely, 2123220112312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123220112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129012378480).

123220112312 is an abundant number, since it is smaller than the sum of its proper divisors (134804644648).

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

123220112312 is a wasteful number, since it uses less digits than its factorization.

123220112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190104 (or 190100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123220112312 its reverse (213211022321), we get a palindrome (336431134633).

It can be divided in two parts, 123220 and 112312, that added together give a palindrome (235532).

The spelling of 123220112312 in words is "one hundred twenty-three billion, two hundred twenty million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 73 88 101 146 202 292 404 584 803 808 1111 1606 2222 3212 4444 6424 7373 8888 14746 29492 58984 81103 162206 189913 324412 379826 648824 759652 1519304 2089043 4178086 8356172 13863649 16712344 19181213 27727298 38362426 55454596 76724852 110909192 152500139 153449704 210993343 305000278 421986686 610000556 843973372 1220001112 1400228549 1687946744 2800457098 5600914196 11201828392 15402514039 30805028078 61610056156 123220112312