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120021222002202 = 23310418321333761
BaseRepresentation
bin11011010010100010011110…
…010011011000111000011010
3120201221220202022201110002000
4123102202132103120320122
5111212411430313032302
61103132553242021430
734165150524214533
oct3322423623307032
9521856668643060
10120021222002202
1135273794967604
1211564b004a7876
1351c7c50030621
14218d0b577168a
15dd206280631c
hex6d289e4d8e1a

120021222002202 has 32 divisors (see below), whose sum is σ = 266716399224960. Its totient is φ = 40006688117760.

The previous prime is 120021222002197. The next prime is 120021222002251. The reversal of 120021222002202 is 202200222120021.

120021222002202 is a `hidden beast` number, since 1 + 200 + 21 + 2 + 220 + 0 + 220 + 2 = 666.

It is a super-3 number, since 3×1200212220022023 (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5040999 + ... + 16292762.

It is an arithmetic number, because the mean of its divisors is an integer number (8334887475780).

Almost surely, 2120021222002202 is an apocalyptic number.

120021222002202 is an abundant number, since it is smaller than the sum of its proper divisors (146695177222758).

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

120021222002202 is a wasteful number, since it uses less digits than its factorization.

120021222002202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21437955 (or 21437949 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120021222002202 its reverse (202200222120021), we get a palindrome (322221444122223).

The spelling of 120021222002202 in words is "one hundred twenty trillion, twenty-one billion, two hundred twenty-two million, two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 104183 208366 312549 625098 937647 1875294 2812941 5625882 21333761 42667522 64001283 128002566 192003849 384007698 576011547 1152023094 2222615222263 4445230444526 6667845666789 13335691333578 20003537000367 40007074000734 60010611001101 120021222002202