31012232220000 has 180 divisors, whose sum is σ = 110203518445020. Its totient is φ = 8269928544000.

The previous prime is 31012232219957. The next prime is 31012232220031. The reversal of 31012232220000 is 2223221013.

31012232220000 is a `hidden beast` number, since 310 + 12 + 2 + 322 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×31012232220000² (a number of 28 digits) contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 85965090 + ... + 86325089.

It is an arithmetic number, because the mean of its divisors is an integer number (612241769139).

Almost surely, 2^{31012232220000} is an apocalyptic number.

31012232220000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31012232220000 is an abundant number, since it is smaller than the sum of its proper divisors (79191286225020).

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

31012232220000 is a wasteful number, since it uses less digits than its factorization.

31012232220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172290215 (or 172290189 counting only the distinct ones).

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

Adding to 31012232220000 its reverse (2223221013), we get a palindrome (31014455441013).

The spelling of 31012232220000 in words is "thirty-one trillion, twelve billion, two hundred thirty-two million, two hundred twenty thousand".