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12232212000 = 253531019351
BaseRepresentation
bin10110110010001100…
…01011111000100000
31011120111001202022220
423121012023320200
5200022421241000
65341442431040
7612061041441
oct133106137040
934514052286
1012232212000
115207845a18
122454662480
1311cc2b9888
148407c72c8
154b8d3e1a0
hex2d918be20

12232212000 has 96 divisors (see below), whose sum is σ = 40072765824. Its totient is φ = 3261920000.

The previous prime is 12232211987. The next prime is 12232212007. The reversal of 12232212000 is 21223221.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (12232212007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497676 + ... + 521675.

It is an arithmetic number, because the mean of its divisors is an integer number (417424644).

Almost surely, 212232212000 is an apocalyptic number.

12232212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12232212000 is an abundant number, since it is smaller than the sum of its proper divisors (27840553824).

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

12232212000 is a wasteful number, since it uses less digits than its factorization.

12232212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019379 (or 1019361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12232212000 its reverse (21223221), we get a palindrome (12253435221).

It can be divided in two parts, 1223221 and 2000, that added together give a palindrome (1225221).

The spelling of 12232212000 in words is "twelve billion, two hundred thirty-two million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1019351 2038702 3058053 4077404 5096755 6116106 8154808 10193510 12232212 15290265 16309616 20387020 24464424 25483775 30580530 32619232 40774040 48928848 50967550 61161060 76451325 81548080 97857696 101935100 122322120 127418875 152902650 163096160 203870200 244644240 254837750 305805300 382256625 407740400 489288480 509675500 611610600 764513250 815480800 1019351000 1223221200 1529026500 2038702000 2446442400 3058053000 4077404000 6116106000 12232212000