31020223122000 has 720 divisors, whose sum is σ = 127280208326544. Its totient is φ = 7020115200000.

The previous prime is 31020223121957. The next prime is 31020223122023. The reversal of 31020223122000 is 22132202013.

31020223122000 is a `hidden beast` number, since 3 + 10 + 202 + 231 + 220 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 117341872704 + 30902881249296 = 342552^2 + 5559036^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88907890 + ... + 89256110.

Almost surely, 2^{31020223122000} is an apocalyptic number.

31020223122000 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 31020223122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63640104163272).

31020223122000 is an abundant number, since it is smaller than the sum of its proper divisors (96259985204544).

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

31020223122000 is a wasteful number, since it uses less digits than its factorization.

31020223122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348365 (or 348339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31020223122000 its reverse (22132202013), we get a palindrome (31042355324013).

The spelling of 31020223122000 in words is "thirty-one trillion, twenty billion, two hundred twenty-three million, one hundred twenty-two thousand".