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121122022100121 = 3371973253082537
BaseRepresentation
bin11011100010100011101011…
…000110100000110010011001
3120212212011002222022101211000
4123202203223012200302121
5111333430400124200441
61105334404440255213
734340530422524220
oct3342435306406231
9525764088271730
10121122022100121
1135658619915a49
1211702314171509
1352779b07c4203
1421ca4a11cbcb7
15e009dd64d2b6
hex6e28eb1a0c99

121122022100121 has 32 divisors (see below), whose sum is σ = 206115309607680. Its totient is φ = 68861251122048.

The previous prime is 121122022100087. The next prime is 121122022100171. The reversal of 121122022100121 is 121001220221121.

121122022100121 is a `hidden beast` number, since 1 + 211 + 220 + 2 + 210 + 0 + 1 + 21 = 666.

It is not a de Polignac number, because 121122022100121 - 29 = 121122022099609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121122022100094 and 121122022100103.

It is not an unprimeable number, because it can be changed into a prime (121122022100171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1626504036 + ... + 1626578501.

It is an arithmetic number, because the mean of its divisors is an integer number (6441103425240).

Almost surely, 2121122022100121 is an apocalyptic number.

It is an amenable number.

121122022100121 is a deficient number, since it is larger than the sum of its proper divisors (84993287507559).

121122022100121 is a wasteful number, since it uses less digits than its factorization.

121122022100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253082750 (or 3253082744 counting only the distinct ones).

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

Adding to 121122022100121 its reverse (121001220221121), we get a palindrome (242123242321242).

The spelling of 121122022100121 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-two million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 197 591 1379 1773 4137 5319 12411 37233 3253082537 9759247611 22771577759 29277742833 68314733277 87833228499 204944199831 614832599493 640857259789 1922571779367 4486000818523 5767715338101 13458002455569 17303146014303 40374007366707 121122022100121