30145422252000 has 768 divisors, whose sum is σ = 109490861555712. Its totient is φ = 7189280000000.

The previous prime is 30145422251981. The next prime is 30145422252037. The reversal of 30145422252000 is 25222454103.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4601648725 + ... + 4601655275.

It is an arithmetic number, because the mean of its divisors is an integer number (142566225984).

Almost surely, 2^{30145422252000} is an apocalyptic number.

30145422252000 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 30145422252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54745430777856).

30145422252000 is an abundant number, since it is smaller than the sum of its proper divisors (79345439303712).

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

30145422252000 is a wasteful number, since it uses less digits than its factorization.

30145422252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 30145422252000 in words is "thirty trillion, one hundred forty-five billion, four hundred twenty-two million, two hundred fifty-two thousand".