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12011013020 = 22519109409709
BaseRepresentation
bin10110010111110100…
…11000001110011100
31011000001211200101002
423023322120032130
5144044304404040
65303501405432
7603433632446
oct131372301634
934001750332
1012011013020
1151039a3946
1223b2569878
13119551c4c6
1481d287496
154a46e8a15
hex2cbe9839c

12011013020 has 96 divisors (see below), whose sum is σ = 26897640000. Its totient is φ = 4492412928.

The previous prime is 12011013019. The next prime is 12011013029. The reversal of 12011013020 is 2031011021.

It is a junction number, because it is equal to n+sod(n) for n = 12011012992 and 12011013010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011013029) 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, 16940426 + ... + 16941134.

It is an arithmetic number, because the mean of its divisors is an integer number (280183750).

Almost surely, 212011013020 is an apocalyptic number.

12011013020 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 12011013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448820000).

12011013020 is an abundant number, since it is smaller than the sum of its proper divisors (14886626980).

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

12011013020 is a wasteful number, since it uses less digits than its factorization.

12011013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12011013020 its reverse (2031011021), we get a palindrome (14042024041).

The spelling of 12011013020 in words is "twelve billion, eleven million, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 409 436 545 709 818 1090 1418 1636 2045 2071 2180 2836 3545 4090 4142 7090 7771 8180 8284 10355 13471 14180 15542 20710 26942 31084 38855 41420 44581 53884 67355 77281 77710 89162 134710 154562 155420 178324 222905 269420 289981 309124 386405 445810 579962 772810 847039 891620 1159924 1449905 1468339 1545620 1694078 2899810 2936678 3388156 4235195 5509639 5799620 5873356 7341695 8470390 11019278 14683390 16940780 22038556 27548195 29366780 31607929 55096390 63215858 110192780 126431716 158039645 316079290 600550651 632158580 1201101302 2402202604 3002753255 6005506510 12011013020