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220012212112112 = 24773202913262453
BaseRepresentation
bin110010000001100110010101…
…101111111100101011110000
31001211222221222100100010200202
4302001212111233330223300
5212314140002300041422
62055532114231334332
764225233500515010
oct6201462557745360
91054887870303622
10220012212112112
1164114723037a22
1220813a108213a8
13959c0a7642754
143c4890db15c40
151a680510e3b92
hexc81995bfcaf0

220012212112112 has 80 divisors (see below), whose sum is σ = 494086888290240. Its totient is φ = 92953449179136.

The previous prime is 220012212112103. The next prime is 220012212112129. The reversal of 220012212112112 is 211211212210022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9957878 + ... + 23220330.

It is an arithmetic number, because the mean of its divisors is an integer number (6176086103628).

Almost surely, 2220012212112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220012212112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247043444145120).

220012212112112 is an abundant number, since it is smaller than the sum of its proper divisors (274074676178128).

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

220012212112112 is a wasteful number, since it uses less digits than its factorization.

220012212112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13264570 (or 13264564 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 220012212112112 its reverse (211211212210022), we get a palindrome (431223424322134).

The spelling of 220012212112112 in words is "two hundred twenty trillion, twelve billion, two hundred twelve million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2029 2044 4058 4088 8116 8176 14203 16232 28406 32464 56812 113624 148117 227248 296234 592468 1036819 1184936 2073638 2369872 4147276 8294552 13262453 16589104 26524906 53049812 92837171 106099624 185674342 212199248 371348684 742697368 968159069 1485394736 1936318138 3872636276 6777113483 7745272552 13554226966 15490545104 26909517137 27108453932 53819034274 54216907864 107638068548 108433815728 188366619959 215276137096 376733239918 430552274192 753466479836 1506932959672 1964394751001 3013865919344 3928789502002 7857579004004 13750763257007 15715158008008 27501526514014 31430316016016 55003053028028 110006106056056 220012212112112