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120011201112 = 233113779155521
BaseRepresentation
bin110111111000100111…
…0011001101001011000
3102110202210020200112110
41233301032121221120
53431240331413422
6131044332312320
711445663243465
oct1576116315130
9373683220473
10120011201112
1146995215740
121b3136126a0
13b41760984a
145b46a2066c
1531c5e6960c
hex1bf1399a58

120011201112 has 128 divisors (see below), whose sum is σ = 340406553600. Its totient is φ = 34936012800.

The previous prime is 120011201087. The next prime is 120011201143. The reversal of 120011201112 is 211102110021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693912 + ... + 849432.

It is an arithmetic number, because the mean of its divisors is an integer number (2659426200).

Almost surely, 2120011201112 is an apocalyptic number.

120011201112 is a gapful number since it is divisible by the number (12) 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 120011201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170203276800).

120011201112 is an abundant number, since it is smaller than the sum of its proper divisors (220395352488).

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

120011201112 is a wasteful number, since it uses less digits than its factorization.

120011201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155657 (or 155653 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120011201112 its reverse (211102110021), we get a palindrome (331113311133).

It can be divided in two parts, 120011 and 201112, that added together give a palindrome (321123).

The spelling of 120011201112 in words is "one hundred twenty billion, eleven million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 79 88 111 132 148 158 222 237 264 296 316 407 444 474 632 814 869 888 948 1221 1628 1738 1896 2442 2607 2923 3256 3476 4884 5214 5846 6952 8769 9768 10428 11692 17538 20856 23384 32153 35076 64306 70152 96459 128612 155521 192918 257224 311042 385836 466563 622084 771672 933126 1244168 1710731 1866252 3421462 3732504 5132193 5754277 6842924 10264386 11508554 12286159 13685848 17262831 20528772 23017108 24572318 34525662 36858477 41057544 46034216 49144636 63297047 69051324 73716954 98289272 126594094 135147749 138102648 147433908 189891141 253188188 270295498 294867816 379782282 405443247 454587883 506376376 540590996 759564564 810886494 909175766 1081181992 1363763649 1519129128 1621772988 1818351532 2727527298 3243545976 3636703064 5000466713 5455054596 10000933426 10910109192 15001400139 20001866852 30002800278 40003733704 60005600556 120011201112