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12210262152 = 23311416118493
BaseRepresentation
bin10110101111100100…
…11101000010001000
31011111221202120210120
423113302131002020
5200001311342102
65335340143240
7611403341634
oct132762350210
934457676716
1012210262152
1151a6413750
122449237b20
1311c78a2aba
1483b911dc4
154b6e556bc
hex2d7c9d088

12210262152 has 128 divisors (see below), whose sum is σ = 34674030720. Its totient is φ = 3550464000.

The previous prime is 12210262147. The next prime is 12210262159. The reversal of 12210262152 is 25126201221.

It is a super-2 number, since 2×122102621522 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12210262159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651018 + ... + 669510.

It is an arithmetic number, because the mean of its divisors is an integer number (270890865).

Almost surely, 212210262152 is an apocalyptic number.

12210262152 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 12210262152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337015360).

12210262152 is an abundant number, since it is smaller than the sum of its proper divisors (22463768568).

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

12210262152 is a wasteful number, since it uses less digits than its factorization.

12210262152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18615 (or 18611 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12210262152 its reverse (25126201221), we get a palindrome (37336463373).

The spelling of 12210262152 in words is "twelve billion, two hundred ten million, two hundred sixty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 61 66 82 88 122 123 132 164 183 244 246 264 328 366 451 488 492 671 732 902 984 1342 1353 1464 1804 2013 2501 2684 2706 3608 4026 5002 5368 5412 7503 8052 10004 10824 15006 16104 18493 20008 27511 30012 36986 55022 55479 60024 73972 82533 110044 110958 147944 165066 203423 220088 221916 330132 406846 443832 610269 660264 758213 813692 1128073 1220538 1516426 1627384 2256146 2274639 2441076 3032852 3384219 4512292 4549278 4882152 6065704 6768438 8340343 9024584 9098556 12408803 13536876 16680686 18197112 24817606 25021029 27073752 33361372 37226409 46250993 49635212 50042058 66722744 74452818 92501986 99270424 100084116 138752979 148905636 185003972 200168232 277505958 297811272 370007944 508760923 555011916 1017521846 1110023832 1526282769 2035043692 3052565538 4070087384 6105131076 12210262152