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11121032120120 = 23513891297318523
BaseRepresentation
bin1010000111010101000100…
…1010110100011100111000
31110101011022211221102102222
42201311101022310130320
52424201333210320440
635352533121543212
72225316354215306
oct241652112643470
943334284842388
1011121032120120
1135a844878616a
1212b73b71a4b08
1362892a3b3590
142a63919cb276
1514443c0882b5
hexa1d512b4738

11121032120120 has 128 divisors (see below), whose sum is σ = 27253464638400. Its totient is φ = 4059557720064.

The previous prime is 11121032120083. The next prime is 11121032120129. The reversal of 11121032120120 is 2102123012111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121032120129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600381179 + ... + 600399701.

Almost surely, 211121032120120 is an apocalyptic number.

11121032120120 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 11121032120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13626732319200).

11121032120120 is an abundant number, since it is smaller than the sum of its proper divisors (16132432518280).

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

11121032120120 is a wasteful number, since it uses less digits than its factorization.

11121032120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31609 (or 31605 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11121032120120 its reverse (2102123012111), we get a palindrome (13223155132231).

The spelling of 11121032120120 in words is "eleven trillion, one hundred twenty-one billion, thirty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 890 1157 1780 2314 3560 4628 5785 9256 11570 12973 18523 23140 25946 37046 46280 51892 64865 74092 92615 103784 129730 148184 168649 185230 240799 259460 337298 370460 481598 518920 674596 740920 843245 963196 1154597 1203995 1349192 1648547 1686490 1926392 2309194 2407990 3297094 3372980 4618388 4815980 5772985 6594188 6745960 8242735 9236776 9631960 11545970 13188376 15009761 16485470 21431111 23091940 30019522 32970940 42862222 46183880 60039044 65941880 75048805 85724444 107155555 120078088 150097610 171448888 214311110 240298879 300195220 428622220 480597758 600390440 857244440 961195516 1201494395 1922391032 2402988790 3123885427 4805977580 6247770854 9611955160 12495541708 15619427135 21386600231 24991083416 31238854270 42773200462 62477708540 85546400924 106933001155 124955417080 171092801848 213866002310 278025803003 427732004620 556051606006 855464009240 1112103212012 1390129015015 2224206424024 2780258030030 5560516060060 11121032120120