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11021121112120 = 2357113348328733
BaseRepresentation
bin1010000001100000111000…
…0000100100100000111000
31110000121102212202100021021
42200120032000210200320
52421032224001041440
635235011054152224
72215151440523560
oct240301600444070
943017385670237
1011021121112120
11356a038603079
12129bb731b2674
1361c397162032
142a15d46d3da0
15141a40a7b84a
hexa060e024838

11021121112120 has 64 divisors (see below), whose sum is σ = 28590822486720. Its totient is φ = 3745230526464.

The previous prime is 11021121112117. The next prime is 11021121112171. The reversal of 11021121112120 is 2121112112011.

It is a super-2 number, since 2×110211211121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11021121112094 and 11021121112103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174132727 + ... + 174196006.

It is an arithmetic number, because the mean of its divisors is an integer number (446731601355).

Almost surely, 211021121112120 is an apocalyptic number.

11021121112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021121112120 is an abundant number, since it is smaller than the sum of its proper divisors (17569701374600).

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

11021121112120 is a wasteful number, since it uses less digits than its factorization.

11021121112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348328864 (or 348328860 counting only the distinct ones).

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

Adding to 11021121112120 its reverse (2121112112011), we get a palindrome (13142233224131).

The spelling of 11021121112120 in words is "eleven trillion, twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1582 2260 3164 3955 4520 6328 7910 15820 31640 348328733 696657466 1393314932 1741643665 2438301131 2786629864 3483287330 4876602262 6966574660 9753204524 12191505655 13933149320 19506409048 24383011310 39361146829 48766022620 78722293658 97532045240 157444587316 196805734145 275528027803 314889174632 393611468290 551056055606 787222936580 1102112111212 1377640139015 1574445873160 2204224222424 2755280278030 5510560556060 11021121112120