Search a number
-
+
20012222101120 = 2751738317472749
BaseRepresentation
bin1001000110011011101010…
…11000111011011010000000
32121212011001011111120110121
410203031311120323122000
510110340012324213440
6110321253220110024
74133556343122514
oct443156530733200
977764034446417
1020012222101120
116416154727557
1222b2604835314
13b221b5470432
144d284d572144
1524a86cd7934a
hex12337563b680

20012222101120 has 256 divisors, whose sum is σ = 50835755520000. Its totient is φ = 7507308773376.

The previous prime is 20012222101063. The next prime is 20012222101127. The reversal of 20012222101120 is 2110122221002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20012222101094 and 20012222101103.

It is not an unprimeable number, because it can be changed into a prime (20012222101127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7279817506 + ... + 7279820254.

It is an arithmetic number, because the mean of its divisors is an integer number (198577170000).

Almost surely, 220012222101120 is an apocalyptic number.

20012222101120 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 20012222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25417877760000).

20012222101120 is an abundant number, since it is smaller than the sum of its proper divisors (30823533418880).

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

20012222101120 is a wasteful number, since it uses less digits than its factorization.

20012222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20012222101120 its reverse (2110122221002), we get a palindrome (22122344322122).

The spelling of 20012222101120 in words is "twenty trillion, twelve billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".