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122201222000 = 24531113479091
BaseRepresentation
bin111000111001111000…
…0101010101101110000
3102200102102011021102012
41301303300222231300
54000232003101000
6132045524142052
711554155151154
oct1616360525560
9380372137365
10122201222000
1147909449860
121b824b37928
13b6a6255cb0
145cb3821064
1532a3364735
hex1c73c2ab70

122201222000 has 320 divisors, whose sum is σ = 354565306368. Its totient is φ = 40141440000.

The previous prime is 122201221951. The next prime is 122201222057. The reversal of 122201222000 is 222102221.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13437455 + ... + 13446545.

Almost surely, 2122201222000 is an apocalyptic number.

122201222000 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 122201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177282653184).

122201222000 is an abundant number, since it is smaller than the sum of its proper divisors (232364084368).

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

122201222000 is a wasteful number, since it uses less digits than its factorization.

122201222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122201222000 its reverse (222102221), we get a palindrome (122423324221).

It can be divided in two parts, 12220 and 1222000, that multiplied together give a square (14932840000 = 1222002).

The spelling of 122201222000 in words is "one hundred twenty-two billion, two hundred one million, two hundred twenty-two thousand".