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21122121011222 = 27111924711177237
BaseRepresentation
bin1001100110101111000001…
…00001010001000000010110
32202210020212221010002001102
410303113200201101000112
510232031100434324342
6112531211325430102
74310010564160340
oct463274041210026
982706787102042
1021122121011222
116803928727190
12245173770b332
13ba2a6600025a
1453045d5a6290
1526967c8ba832
hex1335e0851016

21122121011222 has 192 divisors, whose sum is σ = 42620553271296. Its totient is φ = 7622508913920.

The previous prime is 21122121011221. The next prime is 21122121011261. The reversal of 21122121011222 is 22211012122112.

It is a super-2 number, since 2×211221210112222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122121011194 and 21122121011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122121011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2918625788 + ... + 2918633024.

It is an arithmetic number, because the mean of its divisors is an integer number (221982048288).

Almost surely, 221122121011222 is an apocalyptic number.

21122121011222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21122121011222 is an abundant number, since it is smaller than the sum of its proper divisors (21498432260074).

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

21122121011222 is a wasteful number, since it uses less digits than its factorization.

21122121011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21122121011222 its reverse (22211012122112), we get a palindrome (43333133133334).

The spelling of 21122121011222 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, eleven thousand, two hundred twenty-two".