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120120101000021 = 714633671995387
BaseRepresentation
bin11011010011111110100011…
…111100110101001101010101
3120202022100222100222222102102
4123103332203330311031111
5111221021431324000041
61103250225042051445
734205251036635233
oct3323764374651525
9522270870888372
10120120101000021
1135301715543121
12115800b6949b85
13520437a517a65
142193bb5987953
15dd48ed40c09b
hex6d3fa3f35355

120120101000021 has 16 divisors (see below), whose sum is σ = 122108402700288. Its totient is φ = 118140174490800.

The previous prime is 120120101000017. The next prime is 120120101000047. The reversal of 120120101000021 is 120000101021021.

It is a cyclic number.

It is not a de Polignac number, because 120120101000021 - 22 = 120120101000017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120120100999966 and 120120101000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120103000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120179090 + ... + 121174476.

It is an arithmetic number, because the mean of its divisors is an integer number (7631775168768).

Almost surely, 2120120101000021 is an apocalyptic number.

It is an amenable number.

120120101000021 is a deficient number, since it is larger than the sum of its proper divisors (1988301700267).

120120101000021 is an equidigital number, since it uses as much as digits as its factorization.

120120101000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999592.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120120101000021 its reverse (120000101021021), we get a palindrome (240120202021042).

The spelling of 120120101000021 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred one million, twenty-one", and thus it is an aban number.

Divisors: 1 71 463 3671 32873 260641 995387 1699673 70672477 120676783 460864181 3654065677 32721356851 259438663067 1691832408451 120120101000021