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120221121202002 = 23237421428770057
BaseRepresentation
bin11011010101011100101001…
…001110010100011101010010
3120202200000201122022221200200
4123111130221032110131102
5111224200324011431002
61103404453131400030
734215455312324442
oct3325345116243522
9522600648287620
10120221121202002
1135340544840057
12115977aa2b3016
135210a594b89c2
142198a3a2d4122
15dd7361eb8b1c
hex6d5729394752

120221121202002 has 48 divisors (see below), whose sum is σ = 268154509353432. Its totient is φ = 38898019480320.

The previous prime is 120221121201949. The next prime is 120221121202033. The reversal of 120221121202002 is 200202121122021.

It is a happy number.

120221121202002 is a `hidden beast` number, since 120 + 221 + 1 + 2 + 120 + 200 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115067263217481 + 5153857984521 = 10726941^2 + 2270211^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214104643 + ... + 214665414.

Almost surely, 2120221121202002 is an apocalyptic number.

120221121202002 is an abundant number, since it is smaller than the sum of its proper divisors (147933388151430).

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

120221121202002 is a wasteful number, since it uses less digits than its factorization.

120221121202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428770523 (or 428770520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120221121202002 its reverse (200202121122021), we get a palindrome (320423242324023).

The spelling of 120221121202002 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred two thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 421 666 842 1263 2526 3789 7578 15577 31154 46731 93462 140193 280386 428770057 857540114 1286310171 2572620342 3858930513 7717861026 15864492109 31728984218 47593476327 95186952654 142780428981 180512193997 285560857962 361024387994 541536581991 1083073163982 1624609745973 3249219491946 6678951177889 13357902355778 20036853533667 40073707067334 60110560601001 120221121202002