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130021201200 = 243521115496359
BaseRepresentation
bin111100100010111011…
…1100001010100110000
3110102121101211101012110
41321011313201110300
54112240411414300
6135421513325320
712252021655302
oct1710567412460
9412541741173
10130021201200
115016163a990
1221247a06840
13c3513b8917
146416227972
1535aeb50550
hex1e45de1530

130021201200 has 240 divisors, whose sum is σ = 454729824000. Its totient is φ = 31494988800.

The previous prime is 130021201199. The next prime is 130021201243. The reversal of 130021201200 is 2102120031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1300212012002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20443621 + ... + 20449979.

It is an arithmetic number, because the mean of its divisors is an integer number (1894707600).

Almost surely, 2130021201200 is an apocalyptic number.

130021201200 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 130021201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227364912000).

130021201200 is an abundant number, since it is smaller than the sum of its proper divisors (324708622800).

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

130021201200 is a wasteful number, since it uses less digits than its factorization.

130021201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130021201200 its reverse (2102120031), we get a palindrome (132123321231).

The spelling of 130021201200 in words is "one hundred thirty billion, twenty-one million, two hundred one thousand, two hundred".