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120011012020 = 2256000550601
BaseRepresentation
bin110111111000100110…
…1101011011110110100
3102110202202220002011001
41233301031223132310
53431240304341040
6131044324253044
711445661525264
oct1576115533664
9373682802131
10120011012020
11469950a6669
121b313541184
13b417571763
145b469b17a4
1531c5e2d59a
hex1bf136b7b4

120011012020 has 12 divisors (see below), whose sum is σ = 252023125284. Its totient is φ = 48004404800.

The previous prime is 120011011963. The next prime is 120011012029. The reversal of 120011012020 is 20210110021.

It can be written as a sum of positive squares in 2 ways, for example, as 69243712164 + 50767299856 = 263142^2 + 225316^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120011011988 and 120011012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011012029) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3000275281 + ... + 3000275320.

It is an arithmetic number, because the mean of its divisors is an integer number (21001927107).

Almost surely, 2120011012020 is an apocalyptic number.

120011012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011012020 is an abundant number, since it is smaller than the sum of its proper divisors (132012113264).

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

120011012020 is a wasteful number, since it uses less digits than its factorization.

120011012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000550610 (or 6000550608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120011012020 its reverse (20210110021), we get a palindrome (140221122041).

The spelling of 120011012020 in words is "one hundred twenty billion, eleven million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 6000550601 12001101202 24002202404 30002753005 60005506010 120011012020