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12422122022310 = 235711133741367743
BaseRepresentation
bin1011010011000100000000…
…1010111010010110100110
31121222112200001010122101220
42310301000022322112212
53112011001214203220
642230351042001210
72421316523005260
oct264610012722646
947875601118356
1012422122022310
113a5a213045a70
1214875a7646206
136c152a234450
1430d33bc06b30
151681db9ec540
hexb4c402ba5a6

12422122022310 has 1024 divisors, whose sum is σ = 42284909592576. Its totient is φ = 2252526796800.

The previous prime is 12422122022291. The next prime is 12422122022327. The reversal of 12422122022310 is 1322022122421.

It is a super-2 number, since 2×124221220223102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16718871799 + ... + 16718872541.

It is an arithmetic number, because the mean of its divisors is an integer number (41293857024).

Almost surely, 212422122022310 is an apocalyptic number.

12422122022310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422122022310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21142454796288).

12422122022310 is an abundant number, since it is smaller than the sum of its proper divisors (29862787570266).

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

12422122022310 is a wasteful number, since it uses less digits than its factorization.

12422122022310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229.

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

Adding to 12422122022310 its reverse (1322022122421), we get a palindrome (13744144144731).

The spelling of 12422122022310 in words is "twelve trillion, four hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, three hundred ten".