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120032121220002 = 2326668451178889
BaseRepresentation
bin11011010010101100100111…
…111100100110101110100010
3120201222221212220112002010100
4123102230213330212232202
5111213101241013020002
61103141554550043230
734166014601066655
oct3322544774465642
9521887786462110
10120032121220002
113527837821a222
1211567042649516
1351c8c990cc424
14218d82b0c989c
15dd249e5d911c
hex6d2b27f26ba2

120032121220002 has 12 divisors (see below), whose sum is σ = 260069595976710. Its totient is φ = 40010707073328.

The previous prime is 120032121220001. The next prime is 120032121220019. The reversal of 120032121220002 is 200022121230021.

120032121220002 is a `hidden beast` number, since 120 + 0 + 321 + 2 + 1 + 220 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117818628916041 + 2213492303961 = 10854429^2 + 1487781^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6668451178889 = 120032121220002 / (1 + 2 + 0 + 0 + 3 + 2 + 1 + 2 + 1 + 2 + 2 + 0 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (120032121220001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3334225589427 + ... + 3334225589462.

Almost surely, 2120032121220002 is an apocalyptic number.

120032121220002 is an abundant number, since it is smaller than the sum of its proper divisors (140037474756708).

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

120032121220002 is a wasteful number, since it uses less digits than its factorization.

120032121220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668451178897 (or 6668451178894 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120032121220002 its reverse (200022121230021), we get a palindrome (320054242450023).

The spelling of 120032121220002 in words is "one hundred twenty trillion, thirty-two billion, one hundred twenty-one million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 6668451178889 13336902357778 20005353536667 40010707073334 60016060610001 120032121220002