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22120211202122 = 21113111927643523
BaseRepresentation
bin1010000011110010000110…
…10101001100000001001010
32220022200010112220010222002
411001321003111030001022
510344404143031431442
6115013515034231002
74442063311623665
oct501710325140112
986280115803862
1022120211202122
117059146607250
122593065b85462
13c45c0870c527
145668a41106dc
152855e6637732
hex141e4354c04a

22120211202122 has 32 divisors (see below), whose sum is σ = 36476134700544. Its totient is φ = 9977036383600.

The previous prime is 22120211202101. The next prime is 22120211202143.

22120211202122 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22120211202101) and next prime (22120211202143).

It is a junction number, because it is equal to n+sod(n) for n = 22120211202094 and 22120211202103.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34051853 + ... + 34695375.

It is an arithmetic number, because the mean of its divisors is an integer number (1139879209392).

Almost surely, 222120211202122 is an apocalyptic number.

22120211202122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22120211202122 is a deficient number, since it is larger than the sum of its proper divisors (14355923498422).

22120211202122 is a wasteful number, since it uses less digits than its factorization.

22120211202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655594.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 2212021 and 1202122, that added together give a palindrome (3414143).

The spelling of 22120211202122 in words is "twenty-two trillion, one hundred twenty billion, two hundred eleven million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 131 262 1441 2882 11927 23854 131197 262394 643523 1287046 1562437 3124874 7078753 14157506 17186807 34373614 84301513 168603026 927316643 1854633286 7675298821 15350597642 84428287031 168856574062 1005464145551 2010928291102 11060105601061 22120211202122