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120421410132 = 223231797613203
BaseRepresentation
bin111000000100110101…
…1001110010101010100
3102111211101010110112010
41300021223032111110
53433110340111012
6131153144424220
711462104045242
oct1601153162524
9374741113463
10120421410132
1147085823861
121b408a78070
13b4815b3b8a
145b852c1792
1531ebe97c3c
hex1c09ace554

120421410132 has 96 divisors (see below), whose sum is σ = 295317550080. Its totient is φ = 38118657280.

The previous prime is 120421410121. The next prime is 120421410139. The reversal of 120421410132 is 231014124021.

It is a junction number, because it is equal to n+sod(n) for n = 120421410099 and 120421410108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120421410139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37594843 + ... + 37598045.

It is an arithmetic number, because the mean of its divisors is an integer number (3076224480).

Almost surely, 2120421410132 is an apocalyptic number.

120421410132 is a gapful number since it is divisible by the number (12) 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 120421410132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147658775040).

120421410132 is an abundant number, since it is smaller than the sum of its proper divisors (174896139948).

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

120421410132 is a wasteful number, since it uses less digits than its factorization.

120421410132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 120421410132 its reverse (231014124021), we get a palindrome (351435534153).

The spelling of 120421410132 in words is "one hundred twenty billion, four hundred twenty-one million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 179 276 358 537 716 761 1074 1522 2148 2283 3044 3203 4117 4566 6406 8234 9132 9609 12351 12812 16468 17503 19218 24702 35006 38436 49404 52509 70012 73669 105018 136219 147338 210036 221007 272438 294676 408657 442014 544876 573337 817314 884028 1146674 1634628 1720011 2293348 2437483 3133037 3440022 4874966 6266074 6880044 7312449 9399111 9749932 12532148 13186751 14624898 18798222 26373502 29249796 37596444 39560253 52747004 56062109 79120506 112124218 158241012 168186327 224248436 336372654 436309457 672745308 872618914 1308928371 1745237828 2617856742 5235713484 10035117511 20070235022 30105352533 40140470044 60210705066 120421410132