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120121040 = 24513196079
BaseRepresentation
bin1110010100011…
…10011011010000
322101000210002102
413022032123100
5221222333130
615530335532
72656004054
oct712163320
9271023072
10120121040
1161894796
123428a5a8
131bb6a050
1411d4bc64
15a82b645
hex728e6d0

120121040 has 80 divisors (see below), whose sum is σ = 316646400. Its totient is φ = 42011136.

The previous prime is 120121039. The next prime is 120121061. The reversal of 120121040 is 40121021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16721 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2120121040 is an apocalyptic number.

120121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158323200).

120121040 is an abundant number, since it is smaller than the sum of its proper divisors (196525360).

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

120121040 is a wasteful number, since it uses less digits than its factorization.

120121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 120121040 is about 10959.9744525250. The cubic root of 120121040 is about 493.4081981994.

Adding to 120121040 its reverse (40121021), we get a palindrome (160242061).

The spelling of 120121040 in words is "one hundred twenty million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 6079 9880 12158 19760 24316 30395 48632 60790 79027 97264 115501 121580 158054 231002 243160 316108 395135 462004 486320 577505 632216 790270 924008 1155010 1264432 1501513 1580540 1848016 2310020 3003026 3161080 4620040 6006052 6322160 7507565 9240080 12012104 15015130 24024208 30030260 60060520 120121040