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120021021120 = 263571113124897
BaseRepresentation
bin110111111000111001…
…1110111000111000000
3102110210110201121001110
41233301303313013000
53431300340133440
6131045323003320
711446142563320
oct1576163670700
9373713647043
10120021021120
114699a812650
121b316969540
13b4196674c0
145b48059280
1531c6c59080
hex1bf1cf71c0

120021021120 has 448 divisors, whose sum is σ = 511646155776. Its totient is φ = 23020830720.

The previous prime is 120021021077. The next prime is 120021021137. The reversal of 120021021120 is 21120120021.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120021021096 and 120021021105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 898512 + ... + 1023408.

It is an arithmetic number, because the mean of its divisors is an integer number (1142067312).

Almost surely, 2120021021120 is an apocalyptic number.

120021021120 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 120021021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255823077888).

120021021120 is an abundant number, since it is smaller than the sum of its proper divisors (391625134656).

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

120021021120 is a wasteful number, since it uses less digits than its factorization.

120021021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124948 (or 124938 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120021021120 its reverse (21120120021), we get a palindrome (141141141141).

The spelling of 120021021120 in words is "one hundred twenty billion, twenty-one million, twenty-one thousand, one hundred twenty".