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130122211200 = 2735229271227
BaseRepresentation
bin111100100101111100…
…0110101111110000000
3110102212102220012212120
41321023320311332000
54112442241224300
6135435522324240
712254356355142
oct1711370657600
9412772805776
10130122211200
1150203661223
12212757b9680
13c3692c4057
1464257dcc92
1535b89543a0
hex1e4be35f80

130122211200 has 576 divisors, whose sum is σ = 452113384320. Its totient is φ = 32885350400.

The previous prime is 130122211199. The next prime is 130122211207. The reversal of 130122211200 is 2112221031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130122211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122211207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 573225487 + ... + 573225713.

It is an arithmetic number, because the mean of its divisors is an integer number (784919070).

Almost surely, 2130122211200 is an apocalyptic number.

130122211200 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 130122211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226056692160).

130122211200 is an abundant number, since it is smaller than the sum of its proper divisors (321991173120).

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

130122211200 is a wasteful number, since it uses less digits than its factorization.

130122211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 130122211200 its reverse (2112221031), we get a palindrome (132234432231).

The spelling of 130122211200 in words is "one hundred thirty billion, one hundred twenty-two million, two hundred eleven thousand, two hundred".