Search a number
-
+
22120110122000 = 2453112949969481
BaseRepresentation
bin1010000011110001111010…
…10011100110010000010000
32220022122212111200202002212
411001320331103212100100
510344403441142401000
6115013501023531252
74442060643512522
oct501707523462020
986278774622085
1022120110122000
1170590a4548260
122593038159b28
13c45bc07ab1c7
1456689491ba12
152855dc81cc35
hex141e3d4e6410

22120110122000 has 320 divisors, whose sum is σ = 60482691360000. Its totient is φ = 7750632960000.

The previous prime is 22120110121973. The next prime is 22120110122081. The reversal of 22120110122000 is 22101102122.

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 63 ways as a sum of consecutive naturals, for example, 318327260 + ... + 318396740.

It is an arithmetic number, because the mean of its divisors is an integer number (189008410500).

Almost surely, 222120110122000 is an apocalyptic number.

22120110122000 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 22120110122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30241345680000).

22120110122000 is an abundant number, since it is smaller than the sum of its proper divisors (38362581238000).

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

22120110122000 is a wasteful number, since it uses less digits than its factorization.

22120110122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70043 (or 70027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22120110122000 its reverse (22101102122), we get a palindrome (22142211224122).

The spelling of 22120110122000 in words is "twenty-two trillion, one hundred twenty billion, one hundred ten million, one hundred twenty-two thousand".