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120202021222112 = 25233139713270331
BaseRepresentation
bin11011010101001010110110…
…110001101011011011100000
3120202121012102112100102221002
4123111022312301223123200
5111223342214413101422
61103352013552451132
734214211066222044
oct3325126661533340
9522535375312832
10120202021222112
1135333433357505
1211593b59849aa8
13520c00441395b
142197b47772024
15dd6ae5280692
hex6d52b6c6b6e0

120202021222112 has 96 divisors (see below), whose sum is σ = 255544553908224. Its totient is φ = 55493335180800.

The previous prime is 120202021222111. The next prime is 120202021222117. The reversal of 120202021222112 is 211222120202021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202021222111) 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, 2422787 + ... + 15693117.

It is an arithmetic number, because the mean of its divisors is an integer number (2661922436544).

Almost surely, 2120202021222112 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 120202021222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127772276954112).

120202021222112 is an abundant number, since it is smaller than the sum of its proper divisors (135342532686112).

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

120202021222112 is a wasteful number, since it uses less digits than its factorization.

120202021222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13270792 (or 13270784 counting only the distinct ones).

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

Adding to 120202021222112 its reverse (211222120202021), we get a palindrome (331424141424133).

The spelling of 120202021222112 in words is "one hundred twenty trillion, two hundred two billion, twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 397 496 713 736 794 992 1426 1588 2852 3176 5704 6352 9131 11408 12307 12704 18262 22816 24614 36524 49228 73048 98456 146096 196912 283061 292192 393824 566122 1132244 2264488 4528976 9057952 13270331 26540662 53081324 106162648 212325296 305217613 411380261 424650592 610435226 822760522 1220870452 1645521044 2441740904 3291042088 4883481808 5268321407 6582084176 9461746003 9766963616 10536642814 13164168352 18923492006 21073285628 37846984012 42146571256 75693968024 84293142512 121171392361 151387936048 163317963617 168586285024 242342784722 302775872096 326635927234 484685569444 653271854468 969371138888 1306543708936 1938742277776 2613087417872 3756313163191 3877484555552 5226174835744 7512626326382 15025252652764 30050505305528 60101010611056 120202021222112