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12422433120 = 2535171522357
BaseRepresentation
bin10111001000110111…
…10100100101100000
31012001201222222122120
423210123310211200
5200420120324440
65412355504240
7616560640116
oct134433644540
935051888576
1012422433120
1152a5159959
1224a82b8080
13122c82bb56
1485bb81ab6
154ca8b5dd0
hex2e46f4960

12422433120 has 96 divisors (see below), whose sum is σ = 41432495328. Its totient is φ = 3117785088.

The previous prime is 12422433097. The next prime is 12422433209. The reversal of 12422433120 is 2133422421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 753019 + ... + 769338.

It is an arithmetic number, because the mean of its divisors is an integer number (431588493).

Almost surely, 212422433120 is an apocalyptic number.

12422433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12422433120 is an abundant number, since it is smaller than the sum of its proper divisors (29010062208).

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

12422433120 is a wasteful number, since it uses less digits than its factorization.

12422433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522392 (or 1522384 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12422433120 its reverse (2133422421), we get a palindrome (14555855541).

The spelling of 12422433120 in words is "twelve billion, four hundred twenty-two million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 1522357 3044714 4567071 6089428 7611785 9134142 12178856 15223570 18268284 22835355 24357712 25880069 30447140 36536568 45670710 48715424 51760138 60894280 73073136 77640207 91341420 103520276 121788560 129400345 146146272 155280414 182682840 207040552 243577120 258800690 310560828 365365680 388201035 414081104 517601380 621121656 730731360 776402070 828162208 1035202760 1242243312 1552804140 2070405520 2484486624 3105608280 4140811040 6211216560 12422433120