20002201012248 has 512 divisors, whose sum is σ = 68241633546240. Its totient is φ = 4732166799360.

The previous prime is 20002201012177. The next prime is 20002201012249. The reversal of 20002201012248 is 84221010220002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002201012249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 239916586 + ... + 239999942.

It is an arithmetic number, because the mean of its divisors is an integer number (133284440520).

Almost surely, 2^{20002201012248} is an apocalyptic number.

20002201012248 is a gapful number since it is divisible by the number (28) 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 20002201012248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34120816773120).

20002201012248 is an abundant number, since it is smaller than the sum of its proper divisors (48239432533992).

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

20002201012248 is a wasteful number, since it uses less digits than its factorization.

20002201012248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83707 (or 83703 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 20002201012248 in words is "twenty trillion, two billion, two hundred one million, twelve thousand, two hundred forty-eight".