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12223312000 = 2753763957
BaseRepresentation
bin10110110001001000…
…01111000010000000
31011112212022120211021
423120210033002000
5200013131441000
65340523555224
7611622303064
oct133044170200
934485276737
1012223312000
115202817249
12245168bb14
1311ca4c18c3
1483d54baa4
154b818211a
hex2d890f080

12223312000 has 64 divisors (see below), whose sum is σ = 30390249240. Its totient is φ = 4889318400.

The previous prime is 12223311973. The next prime is 12223312007. The reversal of 12223312000 is 21332221.

It can be written as a sum of positive squares in 4 ways, for example, as 8144701504 + 4078610496 = 90248^2 + 63864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12223312007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365979 + ... + 397978.

Almost surely, 212223312000 is an apocalyptic number.

12223312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223312000 is an abundant number, since it is smaller than the sum of its proper divisors (18166937240).

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

12223312000 is an frugal number, since it uses more digits than its factorization.

12223312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763986 (or 763964 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12223312000 its reverse (21332221), we get a palindrome (12244644221).

The spelling of 12223312000 in words is "twelve billion, two hundred twenty-three million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 763957 1527914 3055828 3819785 6111656 7639570 12223312 15279140 19098925 24446624 30558280 38197850 48893248 61116560 76395700 95494625 97786496 122233120 152791400 190989250 244466240 305582800 381978500 488932480 611165600 763957000 1222331200 1527914000 2444662400 3055828000 6111656000 12223312000