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12211223232 = 263137736329
BaseRepresentation
bin10110101111101100…
…00111101011000000
31011112000120102011010
423113312013223000
5200002033120412
65335412520520
7611414453625
oct132766075300
934460512133
1012211223232
1151a6a0a82a
122449620140
1311c7b4b3a0
1483bac234c
154b709533c
hex2d7d87ac0

12211223232 has 112 divisors (see below), whose sum is σ = 34844675040. Its totient is φ = 3751845888.

The previous prime is 12211223231. The next prime is 12211223243. The reversal of 12211223232 is 23232211221.

It is a super-2 number, since 2×122112232322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12211223199 and 12211223208.

It is not an unprimeable number, because it can be changed into a prime (12211223231) 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, 1926244 + ... + 1932572.

It is an arithmetic number, because the mean of its divisors is an integer number (311113170).

Almost surely, 212211223232 is an apocalyptic number.

12211223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17422337520).

12211223232 is an abundant number, since it is smaller than the sum of its proper divisors (22633451808).

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

12211223232 is a wasteful number, since it uses less digits than its factorization.

12211223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7120 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 12211223232 its reverse (23232211221), we get a palindrome (35443434453).

The spelling of 12211223232 in words is "twelve billion, two hundred eleven million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 773 832 1248 1546 2319 2496 3092 4638 6184 6329 9276 10049 12368 12658 18552 18987 20098 24736 25316 30147 37104 37974 40196 49472 50632 60294 74208 75948 80392 82277 101264 120588 148416 151896 160784 164554 202528 241176 246831 303792 321568 329108 405056 482352 493662 607584 643136 658216 964704 987324 1215168 1316432 1929408 1974648 2632864 3949296 4892317 5265728 7898592 9784634 14676951 15797184 19569268 29353902 39138536 58707804 63600121 78277072 117415608 127200242 156554144 190800363 234831216 254400484 313108288 381600726 469662432 508800968 763201452 939324864 1017601936 1526402904 2035203872 3052805808 4070407744 6105611616 12211223232