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1201222210122 = 2331122321672081
BaseRepresentation
bin10001011110101110011…
…011000101001001001010
311020211120020111211002000
4101132232123011021022
5124140100341210442
62315500040451430
7152533256213604
oct21365633051112
94224506454060
101201222210122
11423487692700
1217497aa79b76
138937588756c
14421d499a174
15213a7161d4c
hex117ae6c524a

1201222210122 has 288 divisors, whose sum is σ = 3087081002880. Its totient is φ = 345929126400.

The previous prime is 1201222210063. The next prime is 1201222210193. The reversal of 1201222210122 is 2210122221021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1201222210095 and 1201222210104.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 577232122 + ... + 577234202.

It is an arithmetic number, because the mean of its divisors is an integer number (10719031260).

Almost surely, 21201222210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201222210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543540501440).

1201222210122 is an abundant number, since it is smaller than the sum of its proper divisors (1885858792758).

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

1201222210122 is a wasteful number, since it uses less digits than its factorization.

1201222210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1201222210122 its reverse (2210122221021), we get a palindrome (3411344431143).

It can be divided in two parts, 1201222 and 210122, that added together give a square (1411344 = 11882).

The spelling of 1201222210122 in words is "one trillion, two hundred one billion, two hundred twenty-two million, two hundred ten thousand, one hundred twenty-two".