33122020000320 has 168 divisors, whose sum is σ = 113928217770744. Its totient is φ = 8832362692608.

The previous prime is 33122020000301. The next prime is 33122020000351. The reversal of 33122020000320 is 2300002022133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 286644593664 + 32835375406656 = 535392^2 + 5730216^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 33122020000293 and 33122020000302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213782722 + ... + 213937598.

Almost surely, 2^{33122020000320} is an apocalyptic number.

33122020000320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33122020000320 is an abundant number, since it is smaller than the sum of its proper divisors (80806197770424).

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

33122020000320 is a wasteful number, since it uses less digits than its factorization.

33122020000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229157 (or 229144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33122020000320 its reverse (2300002022133), we get a palindrome (35422022022453).

The spelling of 33122020000320 in words is "thirty-three trillion, one hundred twenty-two billion, twenty million, three hundred twenty", and thus it is an aban number.