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120201102012120 = 233537107253012339
BaseRepresentation
bin11011010101001001111111…
…111111001010111011011000
3120202121010001110200201212120
4123111021333333022323120
5111223333324103341440
61103351342434541240
734214146235114403
oct3325117777127330
9522533043621776
10120201102012120
11353330014a4428
1211593941a37820
13520bbb8b5260c
142197a9b654d3a
15dd6a8e70bdd0
hex6d527ffcaed8

120201102012120 has 128 divisors (see below), whose sum is σ = 373810551609600. Its totient is φ = 30895842617856.

The previous prime is 120201102012091. The next prime is 120201102012151. The reversal of 120201102012120 is 21210201102021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120201102012120.

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, 126031090 + ... + 126981249.

It is an arithmetic number, because the mean of its divisors is an integer number (2920394934450).

Almost surely, 2120201102012120 is an apocalyptic number.

120201102012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201102012120 is an abundant number, since it is smaller than the sum of its proper divisors (253609449597480).

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

120201102012120 is a wasteful number, since it uses less digits than its factorization.

120201102012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253012497 (or 253012493 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120201102012120 its reverse (21210201102021), we get a palindrome (141411303114141).

The spelling of 120201102012120 in words is "one hundred twenty trillion, two hundred one billion, one hundred two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 107 111 120 148 185 214 222 296 321 370 428 444 535 555 642 740 856 888 1070 1110 1284 1480 1605 2140 2220 2568 3210 3959 4280 4440 6420 7918 11877 12840 15836 19795 23754 31672 39590 47508 59385 79180 95016 118770 158360 237540 475080 253012339 506024678 759037017 1012049356 1265061695 1518074034 2024098712 2530123390 3036148068 3795185085 5060246780 6072296136 7590370170 9361456543 10120493560 15180740340 18722913086 27072320273 28084369629 30361480680 37445826172 46807282715 54144640546 56168739258 74891652344 81216960819 93614565430 108289281092 112337478516 135361601365 140421848145 162433921638 187229130860 216578562184 224674957032 270723202730 280843696290 324867843276 374458261720 406084804095 541446405460 561687392580 649735686552 812169608190 1001675850101 1082892810920 1123374785160 1624339216380 2003351700202 3005027550303 3248678432760 4006703400404 5008379250505 6010055100606 8013406800808 10016758501010 12020110201212 15025137751515 20033517002020 24040220402424 30050275503030 40067034004040 60100551006060 120201102012120