1212905730300 has 1728 divisors, whose sum is σ = 4596185825280. Its totient is φ = 244823040000.

The previous prime is 1212905730299. The next prime is 1212905730307. The reversal of 1212905730300 is 30375092121.

It is a super-2 number, since 2×1212905730300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212905730307) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17083179265 + ... + 17083179335.

It is an arithmetic number, because the mean of its divisors is an integer number (2659829760).

Almost surely, 2^{1212905730300} is an apocalyptic number.

1212905730300 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 1212905730300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298092912640).

1212905730300 is an abundant number, since it is smaller than the sum of its proper divisors (3383280094980).

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

1212905730300 is a wasteful number, since it uses less digits than its factorization.

1212905730300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 1212905730300 in words is "one trillion, two hundred twelve billion, nine hundred five million, seven hundred thirty thousand, three hundred".