1213332120 has 864 divisors, whose sum is σ = 5565147120. Its totient is φ = 226437120.

The previous prime is 1213332103. The next prime is 1213332137. The reversal of 1213332120 is 212333121.

1213332120 is a `hidden beast` number, since 1 + 213 + 332 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1213332103) and next prime (1213332137).

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 = 1213332093 and 1213332102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32792742 + ... + 32792778.

Almost surely, 2^1213332120 is an apocalyptic number.

1213332120 is a gapful number since it is divisible by the number (10) 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 1213332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782573560).

1213332120 is an abundant number, since it is smaller than the sum of its proper divisors (4351815000).

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

1213332120 is a wasteful number, since it uses less digits than its factorization.

1213332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1213332120 is about 34832.9171904967. The cubic root of 1213332120 is about 1066.5794985192.

Adding to 1213332120 its reverse (212333121), we get a palindrome (1425665241).

It can be divided in two parts, 12133 and 32120, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 1213332120 in words is "one billion, two hundred thirteen million, three hundred thirty-two thousand, one hundred twenty".