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2211221121012 = 22331671912292803
BaseRepresentation
bin100000001011010111000…
…011001010011111110100
321211101112210122112201000
4200023113003022133310
5242212040101333022
64411453154403300
7315520056260421
oct40132703123764
97741483575630
102211221121012
11782856749312
122b8671590530
1313069554b907
1479048d60d48
153c7bb61d6ac
hex202d70ca7f4

2211221121012 has 192 divisors, whose sum is σ = 5824711065600. Its totient is φ = 725382656640.

The previous prime is 2211221121001. The next prime is 2211221121013. The reversal of 2211221121012 is 2101211221122.

2211221121012 is a `hidden beast` number, since 221 + 1 + 221 + 1 + 210 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211221121013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788875203 + ... + 788878005.

It is an arithmetic number, because the mean of its divisors is an integer number (30337036800).

Almost surely, 22211221121012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211221121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912355532800).

2211221121012 is an abundant number, since it is smaller than the sum of its proper divisors (3613489944588).

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

2211221121012 is a wasteful number, since it uses less digits than its factorization.

2211221121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2211221121012 its reverse (2101211221122), we get a palindrome (4312432342134).

The spelling of 2211221121012 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, twelve".