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11222000120 = 2354147145589
BaseRepresentation
bin10100111001110001…
…00010000111111000
31001222002011200011002
422130320202013320
5140440313000440
65053314224132
7545043266342
oct123470420770
931862150132
1011222000120
114839587871
122212285048
13109ac15576
1478657c292
1545a2e2115
hex29ce221f8

11222000120 has 64 divisors (see below), whose sum is σ = 26415849600. Its totient is φ = 4286110720.

The previous prime is 11222000107. The next prime is 11222000123. The reversal of 11222000120 is 2100022211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222000123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4286 + ... + 149874.

It is an arithmetic number, because the mean of its divisors is an integer number (412747650).

Almost surely, 211222000120 is an apocalyptic number.

11222000120 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 11222000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207924800).

11222000120 is an abundant number, since it is smaller than the sum of its proper divisors (15193849480).

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

11222000120 is a wasteful number, since it uses less digits than its factorization.

11222000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145688 (or 145684 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11222000120 its reverse (2100022211), we get a palindrome (13322022331).

The spelling of 11222000120 in words is "eleven billion, two hundred twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 164 188 205 235 328 376 410 470 820 940 1640 1880 1927 3854 7708 9635 15416 19270 38540 77080 145589 291178 582356 727945 1164712 1455890 2911780 5823560 5969149 6842683 11938298 13685366 23876596 27370732 29845745 34213415 47753192 54741464 59691490 68426830 119382980 136853660 238765960 273707320 280550003 561100006 1122200012 1402750015 2244400024 2805500030 5611000060 11222000120