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1222112311020 = 223251937163193307
BaseRepresentation
bin10001110010001011100…
…100011111011011101100
311022211111002220220012200
4101302023210133123230
5130010341222423040
62333233004101500
7154203040150056
oct21621344373354
94284432826180
101222112311020
114313275a26a7
12178a2ab34890
138b3247a0c03
14432171828d6
1521bcb101630
hex11c8b91f6ec

1222112311020 has 576 divisors, whose sum is σ = 4066329146880. Its totient is φ = 296042397696.

The previous prime is 1222112311009. The next prime is 1222112311027. The reversal of 1222112311020 is 201132112221.

1222112311020 is a `hidden beast` number, since 1 + 222 + 112 + 311 + 0 + 20 = 666.

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 = 1222112310984 and 1222112311002.

It is not an unprimeable number, because it can be changed into a prime (1222112311027) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3980821707 + ... + 3980822013.

Almost surely, 21222112311020 is an apocalyptic number.

1222112311020 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 1222112311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033164573440).

1222112311020 is an abundant number, since it is smaller than the sum of its proper divisors (2844216835860).

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

1222112311020 is a wasteful number, since it uses less digits than its factorization.

1222112311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1222112311020 its reverse (201132112221), we get a palindrome (1423244423241).

The spelling of 1222112311020 in words is "one trillion, two hundred twenty-two billion, one hundred twelve million, three hundred eleven thousand, twenty".