Search a number
-
+
120021121002012 = 22371791783162789
BaseRepresentation
bin11011010010100010011000…
…010010000110101000011100
3120201221220111021200002212020
4123102202120102012220130
5111212411223434031022
61103132535233140140
734165145156555406
oct3322423022065034
9521856437602766
10120021121002012
113527374295267a
1211564a926ba650
1351c7c351297b9
14218d0a619db76
15dd2058a0535c
hex6d2898486a1c

120021121002012 has 48 divisors (see below), whose sum is σ = 287588494771200. Its totient is φ = 38944275289920.

The previous prime is 120021121001989. The next prime is 120021121002031. The reversal of 120021121002012 is 210200121120021.

It is a junction number, because it is equal to n+sod(n) for n = 120021121001982 and 120021121002000.

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, 891514087 + ... + 891648702.

It is an arithmetic number, because the mean of its divisors is an integer number (5991426974400).

Almost surely, 2120021121002012 is an apocalyptic number.

120021121002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120021121002012 is an abundant number, since it is smaller than the sum of its proper divisors (167567373769188).

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

120021121002012 is a wasteful number, since it uses less digits than its factorization.

120021121002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783162946 (or 1783162944 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120021121002012 its reverse (210200121120021), we get a palindrome (330221242122033).

The spelling of 120021121002012 in words is "one hundred twenty trillion, twenty-one billion, one hundred twenty-one million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 71 79 142 158 213 237 284 316 426 474 852 948 5609 11218 16827 22436 33654 67308 1783162789 3566325578 5349488367 7132651156 10698976734 21397953468 126604558019 140869860331 253209116038 281739720662 379813674057 422609580993 506418232076 563479441324 759627348114 845219161986 1519254696228 1690438323972 10001760083501 20003520167002 30005280250503 40007040334004 60010560501006 120021121002012