30002210122000 has 80 divisors (see below), whose sum is σ = 72862137082800. Its totient is φ = 11948478259200.

The previous prime is 30002210121943. The next prime is 30002210122019. The reversal of 30002210122000 is 22101220003.

It can be written as a sum of positive squares in 8 ways, for example, as 5738822701056 + 24263387420944 = 2395584^2 + 4925788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×30002210122000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32295505 + ... + 33211504.

It is an arithmetic number, because the mean of its divisors is an integer number (910776713535).

Almost surely, 2^{30002210122000} is an apocalyptic number.

It is an amenable number.

30002210122000 is an abundant number, since it is smaller than the sum of its proper divisors (42859926960800).

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

30002210122000 is a wasteful number, since it uses less digits than its factorization.

30002210122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65507261 (or 65507245 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 30002210122000 its reverse (22101220003), we get a palindrome (30024311342003).

The spelling of 30002210122000 in words is "thirty trillion, two billion, two hundred ten million, one hundred twenty-two thousand".