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12233003040 = 253258495141
BaseRepresentation
bin10110110010010010…
…01101000000100000
31011120112112221102200
423121021031000200
5200023122044130
65341511413200
7612100544616
oct133111150040
934515487380
1012233003040
115208236275
122454984200
1311cc50594b
148409516b6
154b8e48760
hex2d924d020

12233003040 has 72 divisors (see below), whose sum is σ = 41745127788. Its totient is φ = 3262133760.

The previous prime is 12233003033. The next prime is 12233003053. The reversal of 12233003040 is 4030033221.

It can be written as a sum of positive squares in 2 ways, for example, as 11465269776 + 767733264 = 107076^2 + 27708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4246131 + ... + 4249010.

Almost surely, 212233003040 is an apocalyptic number.

12233003040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12233003040 is an abundant number, since it is smaller than the sum of its proper divisors (29512124748).

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

12233003040 is a wasteful number, since it uses less digits than its factorization.

12233003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8495162 (or 8495151 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12233003040 its reverse (4030033221), we get a palindrome (16263036261).

The spelling of 12233003040 in words is "twelve billion, two hundred thirty-three million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8495141 16990282 25485423 33980564 42475705 50970846 67961128 76456269 84951410 101941692 127427115 135922256 152912538 169902820 203883384 254854230 271844512 305825076 339805640 382281345 407766768 509708460 611650152 679611280 764562690 815533536 1019416920 1223300304 1359222560 1529125380 2038833840 2446600608 3058250760 4077667680 6116501520 12233003040