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2012011211220 = 22351716931165127
BaseRepresentation
bin11101010001110101001…
…101101010100111010100
321010100100112001121012220
4131101311031222213110
5230431044332224340
64140145530542340
7265235341054413
oct35216515524724
97110315047186
102012011211220
1170631a96a62a
12285b365979b0
13117968b22b4a
146d54bb8947a
153750c714ed0
hex1d47536a9d4

2012011211220 has 96 divisors (see below), whose sum is σ = 5968549939968. Its totient is φ = 504676657152.

The previous prime is 2012011211209. The next prime is 2012011211239. The reversal of 2012011211220 is 221121102102.

It is a super-2 number, since 2×20120112112202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2012011211220.

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, 1144297 + ... + 2309423.

It is an arithmetic number, because the mean of its divisors is an integer number (62172395208).

Almost surely, 22012011211220 is an apocalyptic number.

2012011211220 is a gapful number since it is divisible by the number (20) 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 2012011211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984274969984).

2012011211220 is an abundant number, since it is smaller than the sum of its proper divisors (3956538728748).

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

2012011211220 is a wasteful number, since it uses less digits than its factorization.

2012011211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166849 (or 1166847 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2012011211220 its reverse (221121102102), we get a palindrome (2233132313322).

The spelling of 2012011211220 in words is "two trillion, twelve billion, eleven million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1693 3386 5079 6772 8465 10158 16930 20316 25395 28781 33860 50790 57562 86343 101580 115124 143905 172686 287810 345372 431715 575620 863430 1165127 1726860 2330254 3495381 4660508 5825635 6990762 11651270 13981524 17476905 19807159 23302540 34953810 39614318 59421477 69907620 79228636 99035795 118842954 198071590 237685908 297107385 396143180 594214770 1188429540 1972560011 3945120022 5917680033 7890240044 9862800055 11835360066 19725600110 23670720132 29588400165 33533520187 39451200220 59176800330 67067040374 100600560561 118353600660 134134080748 167667600935 201201121122 335335201870 402402242244 503002802805 670670403740 1006005605610 2012011211220