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12000201021120 = 263513961554569
BaseRepresentation
bin1010111010100000001110…
…1110000001011011000000
31120111012121122100000221010
42232220003232001123000
53033102402430133440
641304452150400520
72345662111451634
oct256500356013300
946435548300833
1012000201021120
1139072906a4a64
121419877060140
136907ca2438b0
142d6b54588dc4
1515c2458cc580
hexaea03b816c0

12000201021120 has 112 divisors (see below), whose sum is σ = 41031456611040. Its totient is φ = 2953895632896.

The previous prime is 12000201021089. The next prime is 12000201021139. The reversal of 12000201021120 is 2112010200021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12000201021096 and 12000201021105.

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, 480764805 + ... + 480789764.

It is an arithmetic number, because the mean of its divisors is an integer number (366352291170).

Almost surely, 212000201021120 is an apocalyptic number.

12000201021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000201021120 is an abundant number, since it is smaller than the sum of its proper divisors (29031255589920).

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

12000201021120 is a wasteful number, since it uses less digits than its factorization.

12000201021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961554602 (or 961554592 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000201021120 its reverse (2112010200021), we get a palindrome (14112211221141).

The spelling of 12000201021120 in words is "twelve trillion, two hundred one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 961554569 1923109138 2884663707 3846218276 4807772845 5769327414 7692436552 9615545690 11538654828 12500209397 14423318535 15384873104 19231091380 23077309656 25000418794 28846637070 30769746208 37500628191 38462182760 46154619312 50000837588 57693274140 61539492416 62501046985 75001256382 76924365520 92309238624 100001675176 115386548280 125002093970 150002512764 153848731040 184618477248 187503140955 200003350352 230773096560 250004187940 300005025528 307697462080 375006281910 400006700704 461546193120 500008375880 600010051056 750012563820 800013401408 923092386240 1000016751760 1200020102112 1500025127640 2000033503520 2400040204224 3000050255280 4000067007040 6000100510560 12000201021120