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20121121121022 = 2333311375981817
BaseRepresentation
bin1001001001100110100000…
…10001101110001011111110
32122020120010112012222002000
410210303100101232023332
510114131024001333042
6110443303200043130
74144463065405455
oct444632021561376
978216115188060
1020121121121022
116458357352a59
12230b7369034a6
13b2c54b83550c
144d7c2043db9c
1524d5e349574c
hex124cd046e2fe

20121121121022 has 64 divisors (see below), whose sum is σ = 44852496691200. Its totient is φ = 6686209696320.

The previous prime is 20121121120999. The next prime is 20121121121039. The reversal of 20121121121022 is 22012112112102.

20121121121022 is a `hidden beast` number, since 201 + 21 + 1 + 211 + 210 + 22 = 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 = 20121121120986 and 20121121121004.

It is a congruent number.

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, 245887458 + ... + 245969274.

It is an arithmetic number, because the mean of its divisors is an integer number (700820260800).

Almost surely, 220121121121022 is an apocalyptic number.

20121121121022 is an abundant number, since it is smaller than the sum of its proper divisors (24731375570178).

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

20121121121022 is a wasteful number, since it uses less digits than its factorization.

20121121121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95918 (or 95912 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20121121121022 its reverse (22012112112102), we get a palindrome (42133233233124).

It can be divided in two parts, 2012112112102 and 2, that multiplied together give a palindrome (4024224224204).

The spelling of 20121121121022 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 331 662 993 1986 2979 5958 8937 13759 17874 27518 41277 81817 82554 123831 163634 245451 247662 371493 490902 736353 742986 1472706 2209059 4418118 4554229 9108458 13662687 27081427 27325374 40988061 54162854 81244281 81976122 122964183 162488562 243732843 245928366 487465686 731198529 1125720103 1462397058 2251440206 3377160309 6754320618 10131480927 20262961854 30394442781 60788885562 372613354093 745226708186 1117840062279 2235680124558 3353520186837 6707040373674 10060560560511 20121121121022