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211212111212112 = 24316096317432923
BaseRepresentation
bin110000000001100010100110…
…110111000110111001010000
31000200211200101011221202001210
4300001202212313012321100
5210140444400432241422
62025113300540300120
762326400004202353
oct6001424667067120
91020750334852053
10211212111212112
116133160a54436a
121b8323a4841640
1390b12a7c048aa
143a22a1396829a
1519641a20aa10c
hexc018a6dc6e50

211212111212112 has 80 divisors (see below), whose sum is σ = 546058089420480. Its totient is φ = 70348979936256.

The previous prime is 211212111212057. The next prime is 211212111212117.

211212111212112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2112121112121122 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212111212117) 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, 487658083 + ... + 488091005.

It is an arithmetic number, because the mean of its divisors is an integer number (6825726117756).

Almost surely, 2211212111212112 is an apocalyptic number.

It is an amenable number.

211212111212112 is an abundant number, since it is smaller than the sum of its proper divisors (334845978208368).

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

211212111212112 is a wasteful number, since it uses less digits than its factorization.

211212111212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440860 (or 440854 counting only the distinct ones).

The product of its digits is 64, while the sum is 21.

The spelling of 211212111212112 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1609 3218 4827 6317 6436 9654 12634 12872 18951 19308 25268 25744 37902 38616 50536 75804 77232 101072 151608 303216 432923 865846 1298769 1731692 2597538 3463384 5195076 6926768 10164053 10390152 20328106 20780304 30492159 40656212 60984318 81312424 121968636 162624848 243937272 487874544 696573107 1393146214 2089719321 2734774591 2786292428 4179438642 5469549182 5572584856 8204323773 8358877284 10939098364 11145169712 16408647546 16717754568 21878196728 32817295092 33435509136 43756393456 65634590184 131269180368 4400252316919 8800504633838 13200756950757 17601009267676 26401513901514 35202018535352 52803027803028 70404037070704 105606055606056 211212111212112