Search a number
-
+
121022201102220 = 2232511376132694869
BaseRepresentation
bin11011100001000110101101…
…010011100111111110001100
3120212111121110021111022021200
4123201012231103213332030
5111330311431440232340
61105220455350025500
734330364651166555
oct3341065523477614
9525447407438250
10121022201102220
113561a255530870
12116a6ab6348290
13526b4630c9392
1421c5711c4532c
15ded0e9ec1330
hex6e11ad4e7f8c

121022201102220 has 288 divisors, whose sum is σ = 411968183215680. Its totient is φ = 28499199252480.

The previous prime is 121022201102171. The next prime is 121022201102269. The reversal of 121022201102220 is 22201102220121.

It is a happy number.

121022201102220 is a `hidden beast` number, since 1 + 210 + 2 + 220 + 1 + 10 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (121022201102171) and next prime (121022201102269).

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 = 121022201102193 and 121022201102202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43560946 + ... + 46255814.

It is an arithmetic number, because the mean of its divisors is an integer number (1430445080610).

Almost surely, 2121022201102220 is an apocalyptic number.

121022201102220 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 121022201102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205984091607840).

121022201102220 is an abundant number, since it is smaller than the sum of its proper divisors (290945982113460).

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

121022201102220 is a wasteful number, since it uses less digits than its factorization.

121022201102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695545 (or 2695540 counting only the distinct ones).

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

Adding to 121022201102220 its reverse (22201102220121), we get a palindrome (143223303322341).

The spelling of 121022201102220 in words is "one hundred twenty-one trillion, twenty-two billion, two hundred one million, one hundred two thousand, two hundred twenty".