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20122111212003 = 32251337101925939
BaseRepresentation
bin1001001001101000010110…
…10010100111100111100011
32122020122200112020210120100
410210310023102213213203
510114140040432241003
6110443545325113443
74144526450136213
oct444641322474743
978218615223510
1020122111212003
116458815218a69
12230b9723b8883
13b2c6789b3378
144d7cb5b2c243
1524d65036aba3
hex124d0b4a79e3

20122111212003 has 48 divisors (see below), whose sum is σ = 29297511734400. Its totient is φ = 13308061536000.

The previous prime is 20122111212001. The next prime is 20122111212011. The reversal of 20122111212003 is 30021211122102.

It is not a de Polignac number, because 20122111212003 - 21 = 20122111212001 is a prime.

It is a super-3 number, since 3×201221112120033 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20122111212001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775734408 + ... + 775760346.

It is an arithmetic number, because the mean of its divisors is an integer number (610364827800).

Almost surely, 220122111212003 is an apocalyptic number.

20122111212003 is a deficient number, since it is larger than the sum of its proper divisors (9175400522397).

20122111212003 is a wasteful number, since it uses less digits than its factorization.

20122111212003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27552 (or 27549 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20122111212003 its reverse (30021211122102), we get a palindrome (50143322334105).

The spelling of 20122111212003 in words is "twenty trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twelve thousand, three".

Divisors: 1 3 9 251 337 753 1011 1019 2259 3033 3057 9171 25939 77817 84587 233451 253761 255769 343403 761283 767307 1030209 2301921 3090627 6510689 8741443 19532067 26224329 26431841 58596201 78672987 79295523 86194153 237886569 258582459 775747377 2194102193 6582306579 6634392091 8907530417 19746919737 19903176273 26722591251 59709528819 80167773753 2235790134667 6707370404001 20122111212003