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22131233401212 = 223313375967107773
BaseRepresentation
bin1010000100000110101000…
…10011100010100101111100
32220100201120201002212122000
411002003110103202211330
510400044231222314322
6115022540454222300
74442633411025135
oct502032423424574
986321521085560
1022131233401212
1170628923275a1
122595221354990
13c46c7410a220
1456722bd1cc8c
15285a3e10e3ac
hex1420d44e297c

22131233401212 has 384 divisors, whose sum is σ = 65500381363200. Its totient is φ = 6415996511232.

The previous prime is 22131233401159. The next prime is 22131233401219. The reversal of 22131233401212 is 21210433213122.

22131233401212 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 233 + 401 + 21 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131233401219) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 205296558 + ... + 205404330.

It is an arithmetic number, because the mean of its divisors is an integer number (170573909800).

Almost surely, 222131233401212 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 22131233401212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32750190681600).

22131233401212 is an abundant number, since it is smaller than the sum of its proper divisors (43369147961988).

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

22131233401212 is a wasteful number, since it uses less digits than its factorization.

22131233401212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107962 (or 107954 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22131233401212 its reverse (21210433213122), we get a palindrome (43341666614334).

The spelling of 22131233401212 in words is "twenty-two trillion, one hundred thirty-one billion, two hundred thirty-three million, four hundred one thousand, two hundred twelve".