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20211211111220 = 22529197268765831
BaseRepresentation
bin1001001100001110010100…
…00011110000101100110100
32122120011200001102122112122
410212013022003300230310
510122120030021024340
6110552522513135112
74154132436604223
oct446071203605464
978504601378478
1020211211111220
116492587849008
12232509985a498
13b37ba81a511c
144dc329284cba
15250b1769adb5
hex1261ca0f0b34

20211211111220 has 96 divisors (see below), whose sum is σ = 44147086663680. Its totient is φ = 7763078059520.

The previous prime is 20211211111193. The next prime is 20211211111243. The reversal of 20211211111220 is 2211111211202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306983705 + ... + 307049535.

It is an arithmetic number, because the mean of its divisors is an integer number (459865486080).

Almost surely, 220211211111220 is an apocalyptic number.

20211211111220 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 20211211111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22073543331840).

20211211111220 is an abundant number, since it is smaller than the sum of its proper divisors (23935875552460).

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

20211211111220 is a wasteful number, since it uses less digits than its factorization.

20211211111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68753 (or 68751 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 20211211111220 its reverse (2211111211202), we get a palindrome (22422322322422).

The spelling of 20211211111220 in words is "twenty trillion, two hundred eleven billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 197 290 394 580 788 985 1970 2687 3940 5374 5713 10748 11426 13435 22852 26870 28565 53740 57130 65831 77923 114260 131662 155846 263324 311692 329155 389615 529339 658310 779230 1058678 1316620 1558460 1909099 2117356 2646695 3818198 5293390 7636396 9545495 10586780 12968707 15350831 19090990 25937414 30701662 38181980 51874828 61403324 64843535 76754155 129687070 153508310 176887897 259374140 307016620 353775794 376092503 707551588 752185006 884439485 1504370012 1768878970 1880462515 3537757940 3760925030 5129749013 7521850060 10259498026 20518996052 25648745065 34846915709 51297490130 69693831418 102594980260 139387662836 174234578545 348469157090 696938314180 1010560555561 2021121111122 4042242222244 5052802777805 10105605555610 20211211111220