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1201020030120 = 233589822113679
BaseRepresentation
bin10001011110100010010…
…111110100110010101000
311020211001011002000020210
4101132202113310302220
5124134142111430440
62315424015221120
7152525252546541
oct21364227646250
94224034060223
101201020030120
11423393550899
121749232177a0
1389342a18c21
14421b5bab4c8
1521394526a80
hex117a25f4ca8

1201020030120 has 128 divisors (see below), whose sum is σ = 3644253504000. Its totient is φ = 316611778560.

The previous prime is 1201020030083. The next prime is 1201020030169. The reversal of 1201020030120 is 210300201021.

It is a super-2 number, since 2×12010200301202 (a number of 25 digits) contains 22 as substring.

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 = 1201020030096 and 1201020030105.

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, 87793441 + ... + 87807119.

It is an arithmetic number, because the mean of its divisors is an integer number (28470730500).

Almost surely, 21201020030120 is an apocalyptic number.

1201020030120 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 1201020030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822126752000).

1201020030120 is an abundant number, since it is smaller than the sum of its proper divisors (2443233473880).

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

1201020030120 is a wasteful number, since it uses less digits than its factorization.

1201020030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22003 (or 21999 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1201020030120 its reverse (210300201021), we get a palindrome (1411320231141).

The spelling of 1201020030120 in words is "one trillion, two hundred one billion, twenty million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 8221 10680 13679 16442 24663 27358 32884 41037 41105 49326 54716 65768 68395 82074 82210 98652 109432 123315 136790 164148 164420 197304 205185 246630 273580 328296 328840 410370 493260 547160 731669 820740 986520 1217431 1463338 1641480 2195007 2434862 2926676 3652293 3658345 4390014 4869724 5853352 6087155 7304586 7316690 8780028 9739448 10975035 12174310 14609172 14633380 17560056 18261465 21950070 24348620 29218344 29266760 36522930 43900140 48697240 73045860 87800280 112455059 146091720 224910118 337365177 449820236 562275295 674730354 899640472 1124550590 1349460708 1686825885 2249101180 2698921416 3373651770 4498202360 6747303540 10008500251 13494607080 20017000502 30025500753 40034001004 50042501255 60051001506 80068002008 100085002510 120102003012 150127503765 200170005020 240204006024 300255007530 400340010040 600510015060 1201020030120