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12132124422 = 23112911715413
BaseRepresentation
bin10110100110010000…
…11000011100000110
31011022111201202222120
423103020120130012
5144321310440142
65323505310410
7606434233065
oct132310303406
934274652876
1012132124422
1151662a4710
122427035406
1311b4645262
148313b21dc
154b016d7ec
hex2d3218706

12132124422 has 64 divisors (see below), whose sum is σ = 27411298560. Its totient is φ = 3545942400.

The previous prime is 12132124421. The next prime is 12132124423. The reversal of 12132124422 is 22442123121.

It is an interprime number because it is at equal distance from previous prime (12132124421) and next prime (12132124423).

It is a junction number, because it is equal to n+sod(n) for n = 12132124392 and 12132124401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132124421) 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, 2238588 + ... + 2244000.

It is an arithmetic number, because the mean of its divisors is an integer number (428301540).

Almost surely, 212132124422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132124422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705649280).

12132124422 is an abundant number, since it is smaller than the sum of its proper divisors (15279174138).

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

12132124422 is a wasteful number, since it uses less digits than its factorization.

12132124422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629.

The product of its digits is 1536, while the sum is 24.

Adding to 12132124422 its reverse (22442123121), we get a palindrome (34574247543).

The spelling of 12132124422 in words is "twelve billion, one hundred thirty-two million, one hundred twenty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1171 1914 2342 3513 5413 7026 10826 12881 16239 25762 32478 33959 38643 59543 67918 77286 101877 119086 156977 178629 203754 313954 357258 373549 470931 747098 941862 1120647 1726747 2241294 3453494 5180241 6338623 10360482 12677246 19015869 38031738 69724853 139449706 183820067 209174559 367640134 418349118 551460201 1102920402 2022020737 4044041474 6066062211 12132124422