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120022022120000 = 265471113317737
BaseRepresentation
bin11011010010100011001101…
…111111100110001001000000
3120201221222211002021122100112
4123102203031333212021000
5111212420100130320000
61103133204503210452
734165206411131510
oct3322431577461100
9521858732248315
10120022022120000
1135274065578990
12115650a4446a28
1351c8049a25000
14218d14db2b840
15dd20acba3235
hex6d28cdfe6240

120022022120000 has 1120 divisors, whose sum is σ = 401982915290880. Its totient is φ = 34529863680000.

The previous prime is 120022022119981. The next prime is 120022022120047. The reversal of 120022022120000 is 21220220021.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (14).

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 159 ways as a sum of consecutive naturals, for example, 6766751132 + ... + 6766768868.

It is an arithmetic number, because the mean of its divisors is an integer number (358913317224).

Almost surely, 2120022022120000 is an apocalyptic number.

120022022120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200991457645440).

120022022120000 is an abundant number, since it is smaller than the sum of its proper divisors (281960893170880).

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

120022022120000 is an equidigital number, since it uses as much as digits as its factorization.

120022022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17826 (or 17775 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120022022120000 its reverse (21220220021), we get a palindrome (120043242340021).

The spelling of 120022022120000 in words is "one hundred twenty trillion, twenty-two billion, twenty-two million, one hundred twenty thousand".