30126751200 has 1296 divisors, whose sum is σ = 137378457216. Its totient is φ = 6307891200.

The previous prime is 30126751183. The next prime is 30126751219. The reversal of 30126751200 is 215762103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×30126751200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 229975135 + ... + 229975265.

It is an arithmetic number, because the mean of its divisors is an integer number (106001896).

Almost surely, 2^30126751200 is an apocalyptic number.

30126751200 is a gapful number since it is divisible by the number (30) 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 30126751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68689228608).

30126751200 is an abundant number, since it is smaller than the sum of its proper divisors (107251706016).

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

30126751200 is a wasteful number, since it uses less digits than its factorization.

30126751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 30126751200 in words is "thirty billion, one hundred twenty-six million, seven hundred fifty-one thousand, two hundred".