Search a number
-
+
122011210002210 = 235173771379240287
BaseRepresentation
bin11011101111011111110010…
…110101001010111100100010
3121000000011021000020000000120
4123233133302311022330202
5111443012424230032320
61111255102011101110
734462006345141344
oct3357376265127442
9530004230200016
10122011210002210
1135970733247631
121182670b441796
1353107b9265539
14221b534657294
15e18bd1855440
hex6ef7f2d4af22

122011210002210 has 256 divisors, whose sum is σ = 323770125680640. Its totient is φ = 29297514516480.

The previous prime is 122011210002181. The next prime is 122011210002271. The reversal of 122011210002210 is 12200012110221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122011210002210.

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 127 ways as a sum of consecutive naturals, for example, 507652687 + ... + 507892973.

It is an arithmetic number, because the mean of its divisors is an integer number (1264727053440).

Almost surely, 2122011210002210 is an apocalyptic number.

122011210002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122011210002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161885062840320).

122011210002210 is an abundant number, since it is smaller than the sum of its proper divisors (201758915678430).

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

122011210002210 is a wasteful number, since it uses less digits than its factorization.

122011210002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240801.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122011210002210 its reverse (12200012110221), we get a palindrome (134211222112431).

The spelling of 122011210002210 in words is "one hundred twenty-two trillion, eleven billion, two hundred ten million, two thousand, two hundred ten".