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120011020022112 = 25319232860674581
BaseRepresentation
bin11011010010011000111110…
…001101111011000101100000
3120201220221102022220011100120
4123102120332031323011200
5111212230032111201422
61103124145042120240
734164336644630412
oct3322307615730540
9521827368804316
10120011020022112
113526a42a1379aa
1211562b33950080
1351c6cb554480b
14218c7c88729b2
15dd1b66d4c45c
hex6d263e37b160

120011020022112 has 96 divisors (see below), whose sum is σ = 346027197438720. Its totient is φ = 36250468277760.

The previous prime is 120011020022081. The next prime is 120011020022141. The reversal of 120011020022112 is 211220020110021.

120011020022112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 120011020022091 and 120011020022100.

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, 1430295339 + ... + 1430379242.

It is an arithmetic number, because the mean of its divisors is an integer number (3604449973320).

Almost surely, 2120011020022112 is an apocalyptic number.

120011020022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120011020022112 is an abundant number, since it is smaller than the sum of its proper divisors (226016177416608).

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

120011020022112 is a wasteful number, since it uses less digits than its factorization.

120011020022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860674636 (or 2860674628 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120011020022112 its reverse (211220020110021), we get a palindrome (331231040132133).

The spelling of 120011020022112 in words is "one hundred twenty trillion, eleven billion, twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 608 736 874 912 1104 1311 1748 1824 2208 2622 3496 5244 6992 10488 13984 20976 41952 2860674581 5721349162 8582023743 11442698324 17164047486 22885396648 34328094972 45770793296 54352817039 65795515363 68656189944 91541586592 108705634078 131591030726 137312379888 163058451117 197386546089 217411268156 263182061452 274624759776 326116902234 394773092178 434822536312 526364122904 652233804468 789546184356 869645072624 1052728245808 1250114791897 1304467608936 1579092368712 1739290145248 2105456491616 2500229583794 2608935217872 3158184737424 3750344375691 5000459167588 5217870435744 6316369474848 7500688751382 10000918335176 15001377502764 20001836670352 30002755005528 40003673340704 60005510011056 120011020022112