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21101212120 = 2354723094861
BaseRepresentation
bin10011101001101110…
…101111000111011000
32000110120122122021211
4103221232233013120
5321203402241440
613405504112504
71344623225602
oct235156570730
960416578254
1021101212120
118a490a1a8a
12410a905734
131cb3891241
14104265c172
15837790eea
hex4e9baf1d8

21101212120 has 64 divisors (see below), whose sum is σ = 48518870400. Its totient is φ = 8255623680.

The previous prime is 21101212103. The next prime is 21101212123. The reversal of 21101212120 is 2121210112.

It is a super-2 number, since 2×211012121202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21101212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101212123) 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, 4338490 + ... + 4343350.

It is an arithmetic number, because the mean of its divisors is an integer number (758107350).

Almost surely, 221101212120 is an apocalyptic number.

21101212120 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 21101212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24259435200).

21101212120 is an abundant number, since it is smaller than the sum of its proper divisors (27417658280).

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

21101212120 is a wasteful number, since it uses less digits than its factorization.

21101212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21101212120 its reverse (2121210112), we get a palindrome (23222422232).

The spelling of 21101212120 in words is "twenty-one billion, one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2309 4618 4861 9236 9722 11545 18472 19444 23090 24305 38888 46180 48610 92360 97220 108523 194440 217046 228467 434092 456934 542615 868184 913868 1085230 1142335 1827736 2170460 2284670 4340920 4569340 9138680 11224049 22448098 44896196 56120245 89792392 112240490 224480980 448961960 527530303 1055060606 2110121212 2637651515 4220242424 5275303030 10550606060 21101212120