206121515246020 has 192 divisors, whose sum is σ = 485822478274560. Its totient is φ = 72824481100800.

The previous prime is 206121515245993. The next prime is 206121515246047. The reversal of 206121515246020 is 20642515121602.

It is an interprime number because it is at equal distance from previous prime (206121515245993) and next prime (206121515246047).

It is a super-2 number, since 2×206121515246020² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130599512 + ... + 1130781808.

It is an arithmetic number, because the mean of its divisors is an integer number (2530325407680).

Almost surely, 2^{206121515246020} is an apocalyptic number.

206121515246020 is a gapful number since it is divisible by the number (20) 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 206121515246020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242911239137280).

206121515246020 is an abundant number, since it is smaller than the sum of its proper divisors (279700963028540).

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

206121515246020 is a wasteful number, since it uses less digits than its factorization.

206121515246020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183434 (or 183432 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 206121515246020 in words is "two hundred six trillion, one hundred twenty-one billion, five hundred fifteen million, two hundred forty-six thousand, twenty".