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12210121201012 = 2271931741199901
BaseRepresentation
bin1011000110101110001111…
…1011111101010101110100
31121020021110100012001221121
42301223203323331111310
53100022312011413022
641545130252353324
72400103120524130
oct261534373752564
947207410161847
1012210121201012
113988313112139
1214524a0a75844
136a75428539a7
14302d89d723c0
1516292ebe42c7
hexb1ae3efd574

12210121201012 has 96 divisors (see below), whose sum is σ = 26538574684160. Its totient is φ = 4796878320000.

The previous prime is 12210121201001. The next prime is 12210121201027. The reversal of 12210121201012 is 21010212101221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122172262 + ... + 122272162.

Almost surely, 212210121201012 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 12210121201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269287342080).

12210121201012 is an abundant number, since it is smaller than the sum of its proper divisors (14328453483148).

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

12210121201012 is a wasteful number, since it uses less digits than its factorization.

12210121201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107373 (or 107371 counting only the distinct ones).

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

Adding to 12210121201012 its reverse (21010212101221), we get a palindrome (33220333302233).

The spelling of 12210121201012 in words is "twelve trillion, two hundred ten billion, one hundred twenty-one million, two hundred one thousand, twelve".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2356 4123 7411 8246 14822 16492 29644 51877 99901 103754 140809 199802 207508 229741 281618 399604 459482 563236 699307 918964 985663 1398614 1608187 1898119 1971326 2797228 3096931 3216374 3796238 3942652 4365079 6193862 6432748 7592476 8730158 12387724 13286833 17460316 21678517 26573666 30555553 43357034 53147332 58841689 61111106 86714068 117683378 122222212 235366756 411891823 740366311 823783646 1480732622 1647567292 2961465244 5182564177 10365128354 14066959909 20730256708 22951355641 28133919818 45902711282 56267839636 91805422564 98468719363 160659489487 196937438726 321318978974 393874877452 436075757179 642637957948 872151514358 1744303028716 3052530300253 6105060600506 12210121201012