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22111220121012 = 2233112411092411571
BaseRepresentation
bin1010000011100001010110…
…11010111011110110110100
32220021210220221120220101000
411001300223122323312310
510344232234322333022
6115005430532203300
74441324434660351
oct501605332736664
986253827526330
1022111220121012
117055352357a00
122591376a69530
13c45104a629a9
1456628dd7b628
1528526c11d6ac
hex141c2b6bbdb4

22111220121012 has 576 divisors, whose sum is σ = 65451492691200. Its totient is φ = 6445992960000.

The previous prime is 22111220120917. The next prime is 22111220121061. The reversal of 22111220121012 is 21012102211122.

22111220121012 is a `hidden beast` number, since 221 + 1 + 1 + 220 + 1 + 210 + 12 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14074614187 + ... + 14074615757.

It is an arithmetic number, because the mean of its divisors is an integer number (113631063700).

Almost surely, 222111220121012 is an apocalyptic number.

22111220121012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111220121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32725746345600).

22111220121012 is an abundant number, since it is smaller than the sum of its proper divisors (43340272570188).

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

22111220121012 is a wasteful number, since it uses less digits than its factorization.

22111220121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22111220121012 its reverse (21012102211122), we get a palindrome (43123322332134).

The spelling of 22111220121012 in words is "twenty-two trillion, one hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, twelve".