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121201012020 = 2235111019771861
BaseRepresentation
bin111000011100000100…
…1001010110100110100
3102120211201002100021010
41300320021022310310
53441204424341040
6131402354152220
711520321414114
oct1607011126464
9376751070233
10121201012020
11474458a2240
121b5a5b82670
13b576c7437a
145c1aa5b044
153245640e80
hex1c3824ad34

121201012020 has 192 divisors, whose sum is σ = 374463274752. Its totient is φ = 29045760000.

The previous prime is 121201012003. The next prime is 121201012063. The reversal of 121201012020 is 20210102121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121201011987 and 121201012005.

It is a congruent number.

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, 65125890 + ... + 65127750.

It is an arithmetic number, because the mean of its divisors is an integer number (1950329556).

Almost surely, 2121201012020 is an apocalyptic number.

121201012020 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 121201012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187231637376).

121201012020 is an abundant number, since it is smaller than the sum of its proper divisors (253262262732).

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

121201012020 is a wasteful number, since it uses less digits than its factorization.

121201012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121201012020 its reverse (20210102121), we get a palindrome (141411114141).

It can be divided in two parts, 12120101 and 2020, that added together give a palindrome (12122121).

The spelling of 121201012020 in words is "one hundred twenty-one billion, two hundred one million, twelve thousand, twenty".