Search a number
-
+
20011212222120 = 23325717234608797
BaseRepresentation
bin1001000110011001110010…
…01100100010111010101000
32121212001102210020101220200
410203030321030202322220
510110330430312101440
6110321005102552200
74133522331235050
oct443147114427250
977761383211820
1020011212222120
116415786676509
1222b2382598660
13b220841847b2
144d27953b2560
1524a80e395c30
hex123339322ea8

20011212222120 has 192 divisors, whose sum is σ = 74370514158720. Its totient is φ = 4571335706112.

The previous prime is 20011212222097. The next prime is 20011212222137. The reversal of 20011212222120 is 2122221211002.

It is a happy number.

20011212222120 is a `hidden beast` number, since 200 + 1 + 121 + 2 + 222 + 120 = 666.

It is a super-2 number, since 2×200112122221202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20011212222093 and 20011212222102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2037562 + ... + 6646358.

It is an arithmetic number, because the mean of its divisors is an integer number (387346427910).

Almost surely, 220011212222120 is an apocalyptic number.

20011212222120 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 20011212222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185257079360).

20011212222120 is an abundant number, since it is smaller than the sum of its proper divisors (54359301936600).

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

20011212222120 is a wasteful number, since it uses less digits than its factorization.

20011212222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610544 (or 4610537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20011212222120 its reverse (2122221211002), we get a palindrome (22133433433122).

The spelling of 20011212222120 in words is "twenty trillion, eleven billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty".