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1222135326720 = 211335721159139
BaseRepresentation
bin10001110010001100111…
…100010010100000000000
311022211112201020012211000
4101302030330102200000
5130010413120423340
62333235145252000
7154203436606200
oct21621474224000
94284481205730
101222135326720
11431339592740
12178a36794000
138b32949bb79
144321a254400
1521bcd14ad30
hex11c8cf12800

1222135326720 has 2304 divisors, whose sum is σ = 5646775680000. Its totient is φ = 247849943040.

The previous prime is 1222135326697. The next prime is 1222135326721. The reversal of 1222135326720 is 276235312221.

1222135326720 is a `hidden beast` number, since 1 + 2 + 2 + 21 + 353 + 267 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×12221353267202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1222135326721) 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, 8792340411 + ... + 8792340549.

It is an arithmetic number, because the mean of its divisors is an integer number (2450857500).

Almost surely, 21222135326720 is an apocalyptic number.

1222135326720 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 1222135326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823387840000).

1222135326720 is an abundant number, since it is smaller than the sum of its proper divisors (4424640353280).

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

1222135326720 is a wasteful number, since it uses less digits than its factorization.

1222135326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1222135326720 in words is "one trillion, two hundred twenty-two billion, one hundred thirty-five million, three hundred twenty-six thousand, seven hundred twenty".