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130212020000000 = 285724232687
BaseRepresentation
bin11101100110110101011001…
…001100101001010100000000
3122002001010222120001020110102
4131212311121030221110000
5114031343204110000000
61140534324242221532
736266336146031321
oct3546653114512400
9562033876036412
10130212020000000
1138542675740324
121272bb660548a8
135786c2cc1c2a3
14242241c7c6448
15100c1a7dde3d5
hex766d59329500

130212020000000 has 288 divisors, whose sum is σ = 325148467617792. Its totient is φ = 52043936000000.

The previous prime is 130212019999987. The next prime is 130212020000003. The reversal of 130212020000000 is 20212031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130212020000003) 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, 48459998657 + ... + 48460001343.

It is an arithmetic number, because the mean of its divisors is an integer number (1128987734784).

Almost surely, 2130212020000000 is an apocalyptic number.

130212020000000 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 130212020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162574233808896).

130212020000000 is an abundant number, since it is smaller than the sum of its proper divisors (194936447617792).

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

130212020000000 is an frugal number, since it uses more digits than its factorization.

130212020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 130212020000000 its reverse (20212031), we get a palindrome (130212040212031).

The spelling of 130212020000000 in words is "one hundred thirty trillion, two hundred twelve billion, twenty million", and thus it is an aban number.