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120405421866457 = 713346338514391
BaseRepresentation
bin11011011000001000010010…
…011001100011110111011001
3120210022122102212112202111001
4123120020102121203313121
5111240210300444211312
61104025253122305001
734235001412166050
oct3330102231436731
9523278385482431
10120405421866457
113540171a754082
12116074641b8161
13522524b123000
1421a392134b397
15ddc04c038057
hex6d8212663dd9

120405421866457 has 64 divisors (see below), whose sum is σ = 149462944727040. Its totient is φ = 95013742824000.

The previous prime is 120405421866409. The next prime is 120405421866469. The reversal of 120405421866457 is 754668124504021.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-120405421866457 is a prime.

It is a super-2 number, since 2×1204054218664572 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120405421866398 and 120405421866407.

It is not an unprimeable number, because it can be changed into a prime (120405421869457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27420954732 + ... + 27420959122.

It is an arithmetic number, because the mean of its divisors is an integer number (2335358511360).

Almost surely, 2120405421866457 is an apocalyptic number.

It is an amenable number.

120405421866457 is a deficient number, since it is larger than the sum of its proper divisors (29057522860583).

120405421866457 is an equidigital number, since it uses as much as digits as its factorization.

120405421866457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751 (or 8725 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 120405421866457 in words is "one hundred twenty trillion, four hundred five billion, four hundred twenty-one million, eight hundred sixty-six thousand, four hundred fifty-seven".

Divisors: 1 7 13 91 169 463 1183 2197 3241 3851 4391 6019 15379 26957 30737 42133 50063 57083 78247 350441 399581 547729 650819 742079 1017211 1783013 2033033 4555733 5194553 7120477 8460647 9647027 12481091 14231231 16909741 23179169 26429429 59224529 67529189 118368187 162254183 185006003 219826633 301329197 343582577 1538786431 2109304379 2405078039 2857746229 3917279561 4466573501 7829210083 20004223603 27420956927 31266014507 37150700977 54804470581 101779731079 260054906839 712458117553 1323136504027 9261955528189 17200774552351 120405421866457