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20120122222112 = 25111012392367929
BaseRepresentation
bin1001001001100100101001…
…01111001110011000100000
32122020110112220121122101002
410210302110233032120200
510114122002242101422
6110443020114131132
74144426246041653
oct444622457163040
978213486548332
1020120122222112
116457994511470
12230b4b8280aa8
13b2c41c8c2583
144d7b678db89a
1524d585930692
hex124c94bce620

20120122222112 has 96 divisors (see below), whose sum is σ = 43822996358400. Its totient is φ = 9017069824000.

The previous prime is 20120122222099. The next prime is 20120122222127. The reversal of 20120122222112 is 21122222102102.

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, 7312964 + ... + 9680892.

It is an arithmetic number, because the mean of its divisors is an integer number (456489545400).

Almost surely, 220120122222112 is an apocalyptic number.

20120122222112 is a gapful number since it is divisible by the number (22) 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 20120122222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21911498179200).

20120122222112 is an abundant number, since it is smaller than the sum of its proper divisors (23702874136288).

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

20120122222112 is a wasteful number, since it uses less digits than its factorization.

20120122222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368290 (or 2368282 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20120122222112 its reverse (21122222102102), we get a palindrome (41242344324214).

The spelling of 20120122222112 in words is "twenty trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 239 352 404 478 808 956 1111 1616 1912 2222 2629 3232 3824 4444 5258 7648 8888 10516 17776 21032 24139 35552 42064 48278 84128 96556 193112 265529 386224 531058 772448 1062116 2124232 2367929 4248464 4735858 8496928 9471716 18943432 26047219 37886864 52094438 75773728 104188876 208377752 239160829 416755504 478321658 565935031 833511008 956643316 1131870062 1913286632 2263740124 2630769119 3826573264 4527480248 5261538238 6225285341 7653146528 9054960496 10523076476 12450570682 18109920992 21046152952 24901141364 42092305904 49802282728 57159438131 84184611808 99604565456 114318876262 199209130912 228637752524 457275505048 628753819441 914551010096 1257507638882 1829102020192 2515015277764 5030030555528 10060061111056 20120122222112