Search a number
-
+
122212020000 = 2535474367101
BaseRepresentation
bin111000111010001100…
…1110110111100100000
3102200110011110212111010
41301310121312330200
54000242234120000
6132050551420520
711554346013210
oct1616431667440
9380404425433
10122212020000
1147914554524
121b828684740
13b6a8566b45
145cb5032240
1532a4298d50
hex1c74676f20

122212020000 has 960 divisors, whose sum is σ = 480510987264. Its totient is φ = 26611200000.

The previous prime is 122212019999. The next prime is 122212020011. The reversal of 122212020000 is 20212221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1210019950 + ... + 1210020050.

Almost surely, 2122212020000 is an apocalyptic number.

122212020000 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 122212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240255493632).

122212020000 is an abundant number, since it is smaller than the sum of its proper divisors (358298967264).

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

122212020000 is a wasteful number, since it uses less digits than its factorization.

122212020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122212020000 its reverse (20212221), we get a palindrome (122232232221).

The spelling of 122212020000 in words is "one hundred twenty-two billion, two hundred twelve million, twenty thousand".