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122221201000 = 2353122221201
BaseRepresentation
bin111000111010011110…
…0111000011001101000
3102200110210202022110011
41301310330320121220
54000302111413000
6132051520301304
711554520032033
oct1616474703150
9380423668404
10122221201000
1147919755328
121b82b771834
13b6aa42c9a2
145cb634201a
1532a4eae2ba
hex1c74f38668

122221201000 has 32 divisors (see below), whose sum is σ = 285997612680. Its totient is φ = 48888480000.

The previous prime is 122221200979. The next prime is 122221201007. The reversal of 122221201000 is 102122221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67017818884 + 55203382116 = 258878^2 + 234954^2 .

It is not an unprimeable number, because it can be changed into a prime (122221201007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 61109601 + ... + 61111600.

Almost surely, 2122221201000 is an apocalyptic number.

122221201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221201000 is an abundant number, since it is smaller than the sum of its proper divisors (163776411680).

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

122221201000 is a wasteful number, since it uses less digits than its factorization.

122221201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122221222 (or 122221208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122221201000 its reverse (102122221), we get a palindrome (122323323221).

The spelling of 122221201000 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 122221201 244442402 488884804 611106005 977769608 1222212010 2444424020 3055530025 4888848040 6111060050 12222120100 15277650125 24444240200 30555300250 61110600500 122221201000