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122201222010 = 23572374154799
BaseRepresentation
bin111000111001111000…
…0101010101101111010
3102200102102011021102120
41301303300222231322
54000232003101020
6132045524142110
711554155151200
oct1616360525572
9380372137376
10122201222010
114790944986a
121b824b37936
13b6a6255cba
145cb3821070
1532a3364740
hex1c73c2ab7a

122201222010 has 192 divisors, whose sum is σ = 358939123200. Its totient is φ = 26513464320.

The previous prime is 122201221951. The next prime is 122201222057. The reversal of 122201222010 is 10222102221.

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

It is a Curzon number.

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, 2202591 + ... + 2257389.

It is an arithmetic number, because the mean of its divisors is an integer number (1869474600).

Almost surely, 2122201222010 is an apocalyptic number.

122201222010 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 122201222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179469561600).

122201222010 is an abundant number, since it is smaller than the sum of its proper divisors (236737901190).

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

122201222010 is a wasteful number, since it uses less digits than its factorization.

122201222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54901 (or 54894 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122201222010 its reverse (10222102221), we get a palindrome (132423324231).

The spelling of 122201222010 in words is "one hundred twenty-two billion, two hundred one million, two hundred twenty-two thousand, ten".