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1211021200020 = 2235711093260089
BaseRepresentation
bin10001100111110110011…
…111010000101010010100
311021202212011001002011210
4101213312133100222110
5124320132411400040
62324200243101420
7153331143233352
oct21476637205224
94252764032153
101211021200020
11427655994865
12176854671870
138a277a25a38
14428841567d2
152177c566480
hex119f67d0a94

1211021200020 has 96 divisors (see below), whose sum is σ = 3441777212160. Its totient is φ = 318098027520.

The previous prime is 1211021199953. The next prime is 1211021200049. The reversal of 1211021200020 is 200021201121.

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 = 1211021199969 and 1211021200005.

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, 4526136 + ... + 4786224.

It is an arithmetic number, because the mean of its divisors is an integer number (35851845960).

Almost surely, 21211021200020 is an apocalyptic number.

1211021200020 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 1211021200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720888606080).

1211021200020 is an abundant number, since it is smaller than the sum of its proper divisors (2230756012140).

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

1211021200020 is a wasteful number, since it uses less digits than its factorization.

1211021200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261265 (or 261263 counting only the distinct ones).

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

Adding to 1211021200020 its reverse (200021201121), we get a palindrome (1411042401141).

The spelling of 1211021200020 in words is "one trillion, two hundred eleven billion, twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1093 1420 2130 2186 3279 4260 4372 5465 6558 10930 13116 16395 21860 32790 65580 77603 155206 232809 260089 310412 388015 465618 520178 776030 780267 931236 1040356 1164045 1300445 1552060 1560534 2328090 2600890 3121068 3901335 4656180 5201780 7802670 15605340 18466319 36932638 55398957 73865276 92331595 110797914 184663190 221595828 276994785 284277277 369326380 553989570 568554554 852831831 1107979140 1137109108 1421386385 1705663662 2842772770 3411327324 4264159155 5685545540 8528318310 17056636620 20183686667 40367373334 60551060001 80734746668 100918433335 121102120002 201836866670 242204240004 302755300005 403673733340 605510600010 1211021200020