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12002120020 = 22511173539091
BaseRepresentation
bin10110010110110000…
…11101000101010100
31010222110002212110201
423023120131011110
5144040020320040
65302543030244
7603265223362
oct131330350524
933873085421
1012002120020
1150a997a460
1223ab59b384
131193727787
1481c010632
154a3a3da9a
hex2cb61d154

12002120020 has 96 divisors (see below), whose sum is σ = 29198848896. Its totient is φ = 4095590400.

The previous prime is 12002119979. The next prime is 12002120023. The reversal of 12002120020 is 2002120021.

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 = 12002119979 and 12002120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002120023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315675 + ... + 1324765.

It is an arithmetic number, because the mean of its divisors is an integer number (304154676).

Almost surely, 212002120020 is an apocalyptic number.

12002120020 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 12002120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599424448).

12002120020 is an abundant number, since it is smaller than the sum of its proper divisors (17196728876).

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

12002120020 is a wasteful number, since it uses less digits than its factorization.

12002120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9481 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002120020 its reverse (2002120021), we get a palindrome (14004240041).

Subtracting from 12002120020 its reverse (2002120021), we obtain a palindrome (9999999999).

It can be divided in two parts, 120021 and 20020, that added together give a palindrome (140041).

The spelling of 12002120020 in words is "twelve billion, two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 353 374 706 748 935 1412 1765 1870 3530 3740 3883 6001 7060 7766 9091 12002 15532 18182 19415 24004 30005 36364 38830 45455 60010 66011 77660 90910 100001 120020 132022 154547 181820 200002 264044 309094 330055 400004 500005 618188 660110 772735 1000010 1320220 1545470 1700017 2000020 3090940 3209123 3400034 6418246 6800068 8500085 12836492 16045615 17000170 32091230 34000340 35300353 54555091 64182460 70600706 109110182 141201412 176501765 218220364 272775455 353003530 545550910 600106001 706007060 1091101820 1200212002 2400424004 3000530005 6001060010 12002120020