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20112121012120 = 2357953453119069
BaseRepresentation
bin1001001001010101101111…
…10101000001111110011000
32122012200220021221001200021
410210222313311001332120
510114004110434341440
6110435214132320224
74144024051632064
oct444526765017630
978180807831607
1020112121012120
116454558a97a25
122309a44773074
13b2b7460477a7
144d7608ddaaa4
1524d26829684a
hex124ab7d41f98

20112121012120 has 64 divisors (see below), whose sum is σ = 45826328016000. Its totient is φ = 7942799574528.

The previous prime is 20112121012117. The next prime is 20112121012129. The reversal of 20112121012120 is 2121012121102.

It is a junction number, because it is equal to n+sod(n) for n = 20112121012094 and 20112121012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112121012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168851946 + ... + 168971014.

It is an arithmetic number, because the mean of its divisors is an integer number (716036375250).

Almost surely, 220112121012120 is an apocalyptic number.

20112121012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112121012120 is an abundant number, since it is smaller than the sum of its proper divisors (25714207003880).

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

20112121012120 is a wasteful number, since it uses less digits than its factorization.

20112121012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172612 (or 172608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20112121012120 its reverse (2121012121102), we get a palindrome (22233133133222).

The spelling of 20112121012120 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 53453 106906 119069 213812 238138 267265 427624 476276 534530 595345 952552 1069060 1190690 2138120 2381380 4222787 4762760 8445574 9406451 16891148 18812902 21113935 33782296 37625804 42227870 47032255 75251608 84455740 94064510 168911480 188129020 376258040 6364595257 12729190514 25458381028 31822976285 50916762056 63645952570 127291905140 254583810280 502803025303 1005606050606 2011212101212 2514015126515 4022424202424 5028030253030 10056060506060 20112121012120