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12020121102020 = 2251016637896573
BaseRepresentation
bin1010111011101010011100…
…0011000110011011000100
31120120010000220110222210012
42232322213003012123010
53033414202000231040
641321544543045352
72350265543400353
oct256724703063304
946503026428705
1012020121102020
113914782aa8639
1214216b62a0858
136926531b8c05
142d7ac3dc999a
1515ca0e60d865
hexaeea70c66c4

12020121102020 has 48 divisors (see below), whose sum is σ = 25496046980208. Its totient is φ = 4759721433600.

The previous prime is 12020121102019. The next prime is 12020121102023. The reversal of 12020121102020 is 2020112102021.

12020121102020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2675507947204 + 9344613154816 = 1635698^2 + 3056896^2 .

It is a super-2 number, since 2×120201211020202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12020121101986 and 12020121102004.

It is not an unprimeable number, because it can be changed into a prime (12020121102023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12958454 + ... + 13855026.

It is an arithmetic number, because the mean of its divisors is an integer number (531167645421).

Almost surely, 212020121102020 is an apocalyptic number.

12020121102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020121102020 is an abundant number, since it is smaller than the sum of its proper divisors (13475925878188).

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

12020121102020 is a wasteful number, since it uses less digits than its factorization.

12020121102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903320 (or 903318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12020121102020 its reverse (2020112102021), we get a palindrome (14040233204041).

It can be divided in two parts, 1202012 and 1102020, that added together give a palindrome (2304032).

The spelling of 12020121102020 in words is "twelve trillion, twenty billion, one hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 6637 13274 26548 33185 66370 132740 670337 896573 1340674 1793146 2681348 3351685 3586292 4482865 6703370 8965730 13406740 17931460 90553873 181107746 362215492 452769365 905538730 1811077460 5950555001 11901110002 23802220004 29752775005 59505550010 119011100020 601006055101 1202012110202 2404024220404 3005030275505 6010060551010 12020121102020