20201213202120 has 256 divisors, whose sum is σ = 71391398400000. Its totient is φ = 5066748101376.

The previous prime is 20201213202083. The next prime is 20201213202151. The reversal of 20201213202120 is 2120231210202.

20201213202120 is a `hidden beast` number, since 2 + 0 + 201 + 21 + 320 + 2 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20201213202093 and 20201213202102.

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, 688960 + ... + 6393519.

It is an arithmetic number, because the mean of its divisors is an integer number (278872650000).

Almost surely, 2^{20201213202120} is an apocalyptic number.

20201213202120 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 20201213202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35695699200000).

20201213202120 is an abundant number, since it is smaller than the sum of its proper divisors (51190185197880).

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

20201213202120 is a wasteful number, since it uses less digits than its factorization.

20201213202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082657 (or 7082647 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20201213202120 its reverse (2120231210202), we get a palindrome (22321444412322).

The spelling of 20201213202120 in words is "twenty trillion, two hundred one billion, two hundred thirteen million, two hundred two thousand, one hundred twenty".