Search a number
-
+
122010021210220 = 2251113211673730011
BaseRepresentation
bin11011101111011110101011…
…111110010010100001101100
3121000000001012011022002222121
4123233132223332102201230
5111443003010412211340
61111254344023122324
734461635031443443
oct3357365376224154
9530001164262877
10122010021210220
11359701831a6610
12118264392a33a4
135310659b96720
14221b460803d5a
15e18b622d094a
hex6ef7abf9286c

122010021210220 has 192 divisors, whose sum is σ = 302496516306432. Its totient is φ = 40752907776000.

The previous prime is 122010021210199. The next prime is 122010021210257. The reversal of 122010021210220 is 22012120010221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122010021210194 and 122010021210203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4065495015 + ... + 4065525025.

It is an arithmetic number, because the mean of its divisors is an integer number (1575502689096).

Almost surely, 2122010021210220 is an apocalyptic number.

122010021210220 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 122010021210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151248258153216).

122010021210220 is an abundant number, since it is smaller than the sum of its proper divisors (180486495096212).

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

122010021210220 is a wasteful number, since it uses less digits than its factorization.

122010021210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36992 (or 36990 counting only the distinct ones).

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

Adding to 122010021210220 its reverse (22012120010221), we get a palindrome (144022141220441).

The spelling of 122010021210220 in words is "one hundred twenty-two trillion, ten billion, twenty-one million, two hundred ten thousand, two hundred twenty".