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12000001011220 = 2251574198191033
BaseRepresentation
bin1010111010011111011111…
…0011000010111000010100
31120111012002200222110221001
42232213313303002320110
53033102000224324340
641304420243433044
72345654132423455
oct256476763027024
946435080873831
1012000001011220
113907198805622
121419820085784
13690797984c41
142d6b35ba312c
1515c23307029a
hexae9f7cc2e14

12000001011220 has 48 divisors (see below), whose sum is σ = 25361394378768. Its totient is φ = 4769261153280.

The previous prime is 12000001011211. The next prime is 12000001011221. The reversal of 12000001011220 is 2211010000021.

It can be written as a sum of positive squares in 8 ways, for example, as 1380314817424 + 10619686193796 = 1174868^2 + 3258786^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12000001011197 and 12000001011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000001011221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131774824 + ... + 131865856.

It is an arithmetic number, because the mean of its divisors is an integer number (528362382891).

Almost surely, 212000001011220 is an apocalyptic number.

12000001011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000001011220 is an abundant number, since it is smaller than the sum of its proper divisors (13361393367548).

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

12000001011220 is a wasteful number, since it uses less digits than its factorization.

12000001011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133180 (or 133178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12000001011220 its reverse (2211010000021), we get a palindrome (14211011011241).

The spelling of 12000001011220 in words is "twelve trillion, one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 41981 83962 91033 167924 182066 209905 364132 419810 455165 839620 910330 1820660 6591017 13182034 14292181 26364068 28584362 32955085 57168724 65910170 71460905 131820340 142921810 285843620 3821656373 7643312746 15286625492 19108281865 38216563730 76433127460 600000050561 1200000101122 2400000202244 3000000252805 6000000505610 12000001011220