Search a number
-
+
22012010112120 = 23357671036475869
BaseRepresentation
bin1010000000101000100100…
…00010110010010001111000
32212221022211211110021012020
411000110102002302101320
510341121044042041440
6114452102225314440
74431213062551050
oct500242202622170
985838754407166
1022012010112120
117017271946916
1225760a9795a20
13c38953b10512
1456155bbdc560
152828b24303d0
hex1405120b2478

22012010112120 has 512 divisors, whose sum is σ = 77472549273600. Its totient is φ = 4899682732032.

The previous prime is 22012010112089. The next prime is 22012010112139. The reversal of 22012010112120 is 2121101021022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22012010112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3750552546 + ... + 3750558414.

It is an arithmetic number, because the mean of its divisors is an integer number (151313572800).

Almost surely, 222012010112120 is an apocalyptic number.

22012010112120 is a gapful number since it is divisible by the number (20) 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 22012010112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38736274636800).

22012010112120 is an abundant number, since it is smaller than the sum of its proper divisors (55460539161480).

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

22012010112120 is a wasteful number, since it uses less digits than its factorization.

22012010112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22012010112120 its reverse (2121101021022), we get a palindrome (24133111133142).

The spelling of 22012010112120 in words is "twenty-two trillion, twelve billion, ten million, one hundred twelve thousand, one hundred twenty".