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1212112100112 = 24373631548213
BaseRepresentation
bin10001101000110111100…
…000101101101100010000
311021212200011202112202220
4101220313200231230100
5124324401144200422
62324500412541040
7153400160566164
oct21506740555420
94255604675686
101212112100112
11428065754191
12176ab9a81780
138a3bca3b754
1442948da6ca4
15217e3200e5c
hex11a3782db10

1212112100112 has 80 divisors (see below), whose sum is σ = 3179220171648. Its totient is φ = 397870341120.

The previous prime is 1212112100099. The next prime is 1212112100117. The reversal of 1212112100112 is 2110012112121.

It is a happy number.

It is a super-2 number, since 2×12121121001122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1212112100091 and 1212112100100.

It is not an unprimeable number, because it can be changed into a prime (1212112100117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1936918 + ... + 2485130.

Almost surely, 21212112100112 is an apocalyptic number.

1212112100112 is a gapful number since it is divisible by the number (12) 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 1212112100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589610085824).

1212112100112 is an abundant number, since it is smaller than the sum of its proper divisors (1967108071536).

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

1212112100112 is a wasteful number, since it uses less digits than its factorization.

1212112100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548928 (or 548922 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1212112100112 its reverse (2110012112121), we get a palindrome (3322124212233).

The spelling of 1212112100112 in words is "one trillion, two hundred twelve billion, one hundred twelve million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 631 876 1168 1262 1752 1893 2524 3504 3786 5048 7572 10096 15144 30288 46063 92126 138189 184252 276378 368504 548213 552756 737008 1096426 1105512 1644639 2192852 2211024 3289278 4385704 6578556 8771408 13157112 26314224 40019549 80039098 120058647 160078196 240117294 320156392 345922403 480234588 640312784 691844806 960469176 1037767209 1383689612 1920938352 2075534418 2767379224 4151068836 5534758448 8302137672 16604275344 25252335419 50504670838 75757006257 101009341676 151514012514 202018683352 303028025028 404037366704 606056050056 1212112100112