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11221119120 = 2435443105541
BaseRepresentation
bin10100111001101010…
…01011000010010000
31001222000111220122110
422130311023002100
5140440101302440
65053243305320
7545032640001
oct123465130220
931860456573
1011221119120
114839035972
122211b1b240
13109a997573
147863cd1a8
1545a1bb080
hex29cd4b090

11221119120 has 80 divisors (see below), whose sum is σ = 34864322112. Its totient is φ = 2985515520.

The previous prime is 11221119109. The next prime is 11221119131. The reversal of 11221119120 is 2191112211.

It is an interprime number because it is at equal distance from previous prime (11221119109) and next prime (11221119131).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53550 + ... + 159090.

Almost surely, 211221119120 is an apocalyptic number.

11221119120 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 11221119120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17432161056).

11221119120 is an abundant number, since it is smaller than the sum of its proper divisors (23643202992).

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

11221119120 is a wasteful number, since it uses less digits than its factorization.

11221119120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106000 (or 105994 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 11221119120 in words is "eleven billion, two hundred twenty-one million, one hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443 886 1329 1772 2215 2658 3544 4430 5316 6645 7088 8860 10632 13290 17720 21264 26580 35440 53160 105541 106320 211082 316623 422164 527705 633246 844328 1055410 1266492 1583115 1688656 2110820 2532984 3166230 4221640 5065968 6332460 8443280 12664920 25329840 46754663 93509326 140263989 187018652 233773315 280527978 374037304 467546630 561055956 701319945 748074608 935093260 1122111912 1402639890 1870186520 2244223824 2805279780 3740373040 5610559560 11221119120