12202067985408 has 352 divisors, whose sum is σ = 43728361171200. Its totient is φ = 3281227481088.

The previous prime is 12202067985379. The next prime is 12202067985413. The reversal of 12202067985408 is 80458976020221.

12202067985408 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 2 + 0 + 6 + 7 + 98 + 540 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1435758 + ... + 5144466.

Almost surely, 2^{12202067985408} is an apocalyptic number.

12202067985408 is a gapful number since it is divisible by the number (18) 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 12202067985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864180585600).

12202067985408 is an abundant number, since it is smaller than the sum of its proper divisors (31526293185792).

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

12202067985408 is a wasteful number, since it uses less digits than its factorization.

12202067985408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708762 (or 3708738 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12202067985408 in words is "twelve trillion, two hundred two billion, sixty-seven million, nine hundred eighty-five thousand, four hundred eight".