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20211222121120 = 2551512381351347
BaseRepresentation
bin1001001100001110010101…
…01101110000101010100000
32122120011200211011000021201
410212013022231300222200
510122120040330333440
6110552523545130544
74154132632311112
oct446071255605240
978504624130251
1020211222121120
116492592a889a8
1223250a1489a54
13b37baa55b564
144dc32a90d3b2
15250b1862319a
hex1261cab70aa0

20211222121120 has 96 divisors (see below), whose sum is σ = 48085554738816. Its totient is φ = 8027553408000.

The previous prime is 20211222121109. The next prime is 20211222121151. The reversal of 20211222121120 is 2112122211202.

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 15 ways as a sum of consecutive naturals, for example, 57349287 + ... + 57700633.

It is an arithmetic number, because the mean of its divisors is an integer number (500891195196).

Almost surely, 220211222121120 is an apocalyptic number.

20211222121120 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 20211222121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24042777369408).

20211222121120 is an abundant number, since it is smaller than the sum of its proper divisors (27874332617696).

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

20211222121120 is a wasteful number, since it uses less digits than its factorization.

20211222121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353894 (or 353886 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 20211222121120 its reverse (2112122211202), we get a palindrome (22323344332322).

The spelling of 20211222121120 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 755 1208 1510 2381 2416 3020 4762 4832 6040 9524 11905 12080 19048 23810 24160 38096 47620 76192 95240 190480 351347 359531 380960 702694 719062 1405388 1438124 1756735 1797655 2810776 2876248 3513470 3595310 5621552 5752496 7026940 7190620 11243104 11504992 14053880 14381240 28107760 28762480 53053397 56215520 57524960 106106794 212213588 265266985 424427176 530533970 836557207 848854352 1061067940 1673114414 1697708704 2122135880 3346228828 4182786035 4244271760 6692457656 8365572070 8488543520 13384915312 16731144140 26769830624 33462288280 66924576560 126320138257 133849153120 252640276514 505280553028 631600691285 1010561106056 1263201382570 2021122212112 2526402765140 4042244424224 5052805530280 10105611060560 20211222121120