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121101121012120 = 23571101422190493
BaseRepresentation
bin11011100010010000001101…
…010011001100000110011000
3120212210011011100020010012121
4123202100031103030012120
5111333110043434341440
61105321030441351024
734336160446310464
oct3342201523140630
9525704140203177
10121101121012120
113564a7737911a7
12116ba260498474
135275a2c531912
1421c947b3854a4
15e001b873d34a
hex6e240d4cc198

121101121012120 has 64 divisors (see below), whose sum is σ = 279051028914240. Its totient is φ = 47285335104000.

The previous prime is 121101121012111. The next prime is 121101121012177. The reversal of 121101121012120 is 21210121101121.

It is a junction number, because it is equal to n+sod(n) for n = 121101121012094 and 121101121012103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210808407 + ... + 211382086.

It is an arithmetic number, because the mean of its divisors is an integer number (4360172326785).

Almost surely, 2121101121012120 is an apocalyptic number.

121101121012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101121012120 is an abundant number, since it is smaller than the sum of its proper divisors (157949907902120).

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

121101121012120 is a wasteful number, since it uses less digits than its factorization.

121101121012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422190676 (or 422190672 counting only the distinct ones).

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

Adding to 121101121012120 its reverse (21210121101121), we get a palindrome (142311242113241).

The spelling of 121101121012120 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 101 142 202 284 355 404 505 568 710 808 1010 1420 2020 2840 4040 7171 14342 28684 35855 57368 71710 143420 286840 422190493 844380986 1688761972 2110952465 3377523944 4221904930 8443809860 16887619720 29975525003 42641239793 59951050006 85282479586 119902100012 149877625015 170564959172 213206198965 239804200024 299755250030 341129918344 426412397930 599510500060 852824795860 1199021000120 1705649591720 3027528025303 6055056050606 12110112101212 15137640126515 24220224202424 30275280253030 60550560506060 121101121012120