1213024108032 has 800 divisors, whose sum is σ = 4242861368064. Its totient is φ = 340933017600.

The previous prime is 1213024107949. The next prime is 1213024108039. The reversal of 1213024108032 is 2308014203121.

1213024108032 is a `hidden beast` number, since 1 + 213 + 0 + 2 + 410 + 8 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1213024107987 and 1213024108005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213024108039) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 550622643 + ... + 550624845.

Almost surely, 2^{1213024108032} is an apocalyptic number.

1213024108032 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 1213024108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121430684032).

1213024108032 is an abundant number, since it is smaller than the sum of its proper divisors (3029837260032).

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

1213024108032 is a wasteful number, since it uses less digits than its factorization.

1213024108032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1213024108032 in words is "one trillion, two hundred thirteen billion, twenty-four million, one hundred eight thousand, thirty-two".