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12130455400 = 23527172831801
BaseRepresentation
bin10110100110000100…
…00000111101101000
31011022101120222111221
423103002000331220
5144320344033100
65323405431424
7606414112120
oct132302007550
934271528457
1012130455400
115165364758
12242656b574
1311b41ac67b
14831099c80
154aee3e01a
hex2d3080f68

12130455400 has 192 divisors, whose sum is σ = 34267985280. Its totient is φ = 3898368000.

The previous prime is 12130455373. The next prime is 12130455413. The reversal of 12130455400 is 455403121.

It is a happy number.

It is a super-2 number, since 2×121304554002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 6734500 + ... + 6736300.

It is an arithmetic number, because the mean of its divisors is an integer number (178479090).

Almost surely, 212130455400 is an apocalyptic number.

12130455400 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 12130455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133992640).

12130455400 is an abundant number, since it is smaller than the sum of its proper divisors (22137529880).

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

12130455400 is a wasteful number, since it uses less digits than its factorization.

12130455400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 12130455400 its reverse (455403121), we get a palindrome (12585858521).

The spelling of 12130455400 in words is "twelve billion, one hundred thirty million, four hundred fifty-five thousand, four hundred".