1212521768640 has 1344 divisors, whose sum is σ = 5610910556160. Its totient is φ = 232986378240.

The previous prime is 1212521768639. The next prime is 1212521768669. The reversal of 1212521768640 is 468671252121.

1212521768640 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 521 + 7 + 6 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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, 138111771 + ... + 138120549.

It is an arithmetic number, because the mean of its divisors is an integer number (4174784640).

Almost surely, 2^{1212521768640} is an apocalyptic number.

1212521768640 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 1212521768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805455278080).

1212521768640 is an abundant number, since it is smaller than the sum of its proper divisors (4398388787520).

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

1212521768640 is a wasteful number, since it uses less digits than its factorization.

1212521768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8870 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1212521768640 in words is "one trillion, two hundred twelve billion, five hundred twenty-one million, seven hundred sixty-eight thousand, six hundred forty".