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12001010020 = 2251051357077
BaseRepresentation
bin10110010110101000…
…01110000101100100
31010222101000110211121
423023110032011210
5144034224310040
65302503143324
7603252621256
oct131324160544
933871013747
1012001010020
1150a92914aa
1223ab144b44
13119342947c
1481bc01cd6
154a38bec4a
hex2cb50e164

12001010020 has 24 divisors (see below), whose sum is σ = 25204959864. Its totient is φ = 4799863296.

The previous prime is 12001009963. The next prime is 12001010029. The reversal of 12001010020 is 2001010021.

It can be written as a sum of positive squares in 4 ways, for example, as 485144676 + 11515865344 = 22026^2 + 107312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12001009985 and 12001010012.

It is not an unprimeable number, because it can be changed into a prime (12001010029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181722 + ... + 238798.

It is an arithmetic number, because the mean of its divisors is an integer number (1050206661).

Almost surely, 212001010020 is an apocalyptic number.

12001010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001010020 is an abundant number, since it is smaller than the sum of its proper divisors (13203949844).

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

12001010020 is a wasteful number, since it uses less digits than its factorization.

12001010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67599 (or 67597 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12001010020 its reverse (2001010021), we get a palindrome (14002020041).

Subtracting from 12001010020 its reverse (2001010021), we obtain a palindrome (9999999999).

The spelling of 12001010020 in words is "twelve billion, one million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 10513 21026 42052 52565 57077 105130 114154 210260 228308 285385 570770 1141540 600050501 1200101002 2400202004 3000252505 6000505010 12001010020