1213965646200 has 768 divisors, whose sum is σ = 4376469888000. Its totient is φ = 312912460800.

The previous prime is 1213965646189. The next prime is 1213965646211. The reversal of 1213965646200 is 26465693121.

1213965646200 is a `hidden beast` number, since 1 + 2 + 1 + 396 + 56 + 4 + 6 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1213965646189) and next prime (1213965646211).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2492742357 + ... + 2492742843.

It is an arithmetic number, because the mean of its divisors is an integer number (5698528500).

Almost surely, 2^{1213965646200} is an apocalyptic number.

1213965646200 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 1213965646200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188234944000).

1213965646200 is an abundant number, since it is smaller than the sum of its proper divisors (3162504241800).

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

1213965646200 is a wasteful number, since it uses less digits than its factorization.

1213965646200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1213965646200 in words is "one trillion, two hundred thirteen billion, nine hundred sixty-five million, six hundred forty-six thousand, two hundred".