1230667333632 has 1680 divisors, whose sum is σ = 4641537297600. Its totient is φ = 321052999680.

The previous prime is 1230667333601. The next prime is 1230667333633. The reversal of 1230667333632 is 2363337660321.

1230667333632 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 6 + 6 + 7 + 3 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×1230667333632² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230667333633) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42436804594 + ... + 42436804622.

It is an arithmetic number, because the mean of its divisors is an integer number (2762819820).

Almost surely, 2^{1230667333632} is an apocalyptic number.

1230667333632 is a gapful number since it is divisible by the number (12) 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 1230667333632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320768648800).

1230667333632 is an abundant number, since it is smaller than the sum of its proper divisors (3410869963968).

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

1230667333632 is an equidigital number, since it uses as much as digits as its factorization.

1230667333632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 45.

The spelling of 1230667333632 in words is "one trillion, two hundred thirty billion, six hundred sixty-seven million, three hundred thirty-three thousand, six hundred thirty-two".