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22012210120212 = 2232131997111932137
BaseRepresentation
bin1010000000101000111011…
…11101110000011000010100
32212221100100202210201201100
411000110131331300120110
510341122001242321322
6114452134132230100
74431221041601034
oct500243575603024
985840322721640
1022012210120212
117017364834964
12257614476b330
13c3898639b3c0
1456157a5c38c4
152828c4c8bdac
hex14051df70614

22012210120212 has 288 divisors, whose sum is σ = 63223380904320. Its totient is φ = 6401536634880.

The previous prime is 22012210120177. The next prime is 22012210120247. The reversal of 22012210120212 is 21202101221022.

It is a happy number.

22012210120212 is a `hidden beast` number, since 220 + 1 + 2 + 210 + 1 + 20 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (22012210120177) and next prime (22012210120247).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 10300518408 + ... + 10300520544.

It is an arithmetic number, because the mean of its divisors is an integer number (219525628140).

Almost surely, 222012210120212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012210120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31611690452160).

22012210120212 is an abundant number, since it is smaller than the sum of its proper divisors (41211170784108).

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

22012210120212 is a wasteful number, since it uses less digits than its factorization.

22012210120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22012210120212 its reverse (21202101221022), we get a palindrome (43214311341234).

The spelling of 22012210120212 in words is "twenty-two trillion, twelve billion, two hundred ten million, one hundred twenty thousand, two hundred twelve".