30020001022000 has 240 divisors, whose sum is σ = 81484839386496. Its totient is φ = 10684096896000.

The previous prime is 30020001021977. The next prime is 30020001022007. The reversal of 30020001022000 is 22010002003.

It is a super-2 number, since 2×30020001022000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (30020001022007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10054324 + ... + 12693676.

Almost surely, 2^{30020001022000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30020001022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40742419693248).

30020001022000 is an abundant number, since it is smaller than the sum of its proper divisors (51464838364496).

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

30020001022000 is a wasteful number, since it uses less digits than its factorization.

30020001022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639445 (or 2639418 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 30020001022000 its reverse (22010002003), we get a palindrome (30042011024003).

The spelling of 30020001022000 in words is "thirty trillion, twenty billion, one million, twenty-two thousand".