Search a number
-
+
122122200112220 = 225711673257363397
BaseRepresentation
bin11011110001000111001010…
…010110110101110001011100
3121000101202202002200202222202
4123301013022112311301130
5112001322231212042340
61111422055250231032
734503015651412040
oct3361071226656134
9530352662622882
10122122200112220
1135a03809275a80
1211844125885478
13531b0c6918b49
142222a63132020
15e1ba2a828c15
hex6f11ca5b5c5c

122122200112220 has 192 divisors, whose sum is σ = 324610862736384. Its totient is φ = 37484326471680.

The previous prime is 122122200112181. The next prime is 122122200112249. The reversal of 122122200112220 is 22211002221221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122122200112192 and 122122200112201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335875562 + ... + 336238958.

It is an arithmetic number, because the mean of its divisors is an integer number (1690681576752).

Almost surely, 2122122200112220 is an apocalyptic number.

122122200112220 is a gapful number since it is divisible by the number (10) 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 122122200112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162305431368192).

122122200112220 is an abundant number, since it is smaller than the sum of its proper divisors (202488662624164).

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

122122200112220 is a wasteful number, since it uses less digits than its factorization.

122122200112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366748 (or 366746 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122122200112220 its reverse (22211002221221), we get a palindrome (144333202333441).

The spelling of 122122200112220 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred million, one hundred twelve thousand, two hundred twenty".