30292938211200 has 1152 divisors, whose sum is σ = 119987281751040. Its totient is φ = 6690926592000.

The previous prime is 30292938211181. The next prime is 30292938211201. The reversal of 30292938211200 is 211283929203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30292938211201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15063618195 + ... + 15063620205.

It is an arithmetic number, because the mean of its divisors is an integer number (104155626520).

Almost surely, 2^{30292938211200} is an apocalyptic number.

30292938211200 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 30292938211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59993640875520).

30292938211200 is an abundant number, since it is smaller than the sum of its proper divisors (89694343539840).

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

30292938211200 is a wasteful number, since it uses less digits than its factorization.

30292938211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 30292938211200 in words is "thirty trillion, two hundred ninety-two billion, nine hundred thirty-eight million, two hundred eleven thousand, two hundred".