Search a number
-
+
1202121220212 = 2233112591390539
BaseRepresentation
bin10001011111100100000…
…000100010000001110100
311020220212220011021002000
4101133210000202001310
5124143421013021322
62320125153415300
7152564453530353
oct21374400420164
94226786137060
101202121220212
114238a90a9250
12174b8bb6a530
1389489bc54b3
144227c13999a
152140b0453ac
hex117e4022074

1202121220212 has 96 divisors (see below), whose sum is σ = 3401259724800. Its totient is φ = 364137631200.

The previous prime is 1202121220211. The next prime is 1202121220273. The reversal of 1202121220212 is 2120221212021.

It is a happy number.

1202121220212 is a `hidden beast` number, since 1 + 20 + 212 + 1 + 220 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202121220211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2882839 + ... + 3273377.

It is an arithmetic number, because the mean of its divisors is an integer number (35429788800).

Almost surely, 21202121220212 is an apocalyptic number.

1202121220212 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 1202121220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700629862400).

1202121220212 is an abundant number, since it is smaller than the sum of its proper divisors (2199138504588).

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

1202121220212 is a wasteful number, since it uses less digits than its factorization.

1202121220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393154 (or 393146 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1202121220212 its reverse (2120221212021), we get a palindrome (3322342432233).

The spelling of 1202121220212 in words is "one trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2591 5182 7773 10364 15546 23319 28501 31092 46638 57002 69957 85503 93276 114004 139914 171006 256509 279828 342012 390539 513018 769527 781078 1026036 1171617 1539054 1562156 2343234 3078108 3514851 4295929 4686468 7029702 8591858 10544553 12887787 14059404 17183716 21089106 25775574 38663361 42178212 51551148 77326722 115990083 154653444 231980166 463960332 1011886549 2023773098 3035659647 4047546196 6071319294 9106978941 11130752039 12142638588 18213957882 22261504078 27320936823 33392256117 36427915764 44523008156 54641873646 66784512234 100176768351 109283747292 133569024468 200353536702 300530305053 400707073404 601060610106 1202121220212