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120414411012 = 223743911512837
BaseRepresentation
bin111000000100101000…
…0100001100100000100
3102111210212221212112110
41300021100201210010
53433102042123022
6131152334421020
711461660414530
oct1601120414404
9374725855473
10120414411012
1147081883265
121b406661770
13b48000319c
145b843bcbc0
1531eb56400c
hex1c09421904

120414411012 has 96 divisors (see below), whose sum is σ = 322229698560. Its totient is φ = 34283836800.

The previous prime is 120414411011. The next prime is 120414411031. The reversal of 120414411012 is 210114414021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 120414411012.

It is not an unprimeable number, because it can be changed into a prime (120414411011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42442858 + ... + 42445694.

It is an arithmetic number, because the mean of its divisors is an integer number (3356559360).

Almost surely, 2120414411012 is an apocalyptic number.

120414411012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120414411012 is an abundant number, since it is smaller than the sum of its proper divisors (201815287548).

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

120414411012 is a wasteful number, since it uses less digits than its factorization.

120414411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 120414411012 its reverse (210114414021), we get a palindrome (330528825033).

The spelling of 120414411012 in words is "one hundred twenty billion, four hundred fourteen million, four hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 439 878 1151 1317 1756 2302 2634 2837 3073 3453 4604 5268 5674 6146 6906 8057 8511 9219 11348 12292 13812 16114 17022 18438 19859 24171 32228 34044 36876 39718 48342 59577 79436 96684 119154 238308 505289 1010578 1245443 1515867 2021156 2490886 3031734 3265387 3537023 3736329 4981772 6063468 6530774 7074046 7472658 8718101 9796161 10611069 13061548 14148092 14945316 17436202 19592322 21222138 22857709 26154303 34872404 39184644 42444276 45715418 52308606 68573127 91430836 104617212 137146254 274292508 1433504893 2867009786 4300514679 5734019572 8601029358 10034534251 17202058716 20069068502 30103602753 40138137004 60207205506 120414411012