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121122020111001 = 3721363381486191
BaseRepresentation
bin11011100010100011101010…
…111110111011001010011001
3120212212011002211120100020220
4123202203222332323022121
5111333430344122023001
61105334404325510253
734340530366601100
oct3342435276731231
9525764084510226
10121122020111001
1135658618787548
1211702313572389
1352779b0278a10
1421ca4a0c31037
15e009dd3a8c36
hex6e28eafbb299

121122020111001 has 24 divisors (see below), whose sum is σ = 202313703924864. Its totient is φ = 63888538079520.

The previous prime is 121122020110963. The next prime is 121122020111069. The reversal of 121122020111001 is 100111020221121.

It is a happy number.

It is not a de Polignac number, because 121122020111001 - 27 = 121122020110873 is a prime.

It is a super-2 number, since 2×1211220201110012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121122020113001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31690741185 + ... + 31690745006.

It is an arithmetic number, because the mean of its divisors is an integer number (8429737663536).

Almost surely, 2121122020111001 is an apocalyptic number.

It is an amenable number.

121122020111001 is a deficient number, since it is larger than the sum of its proper divisors (81191683813863).

121122020111001 is a wasteful number, since it uses less digits than its factorization.

121122020111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63381486221 (or 63381486214 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121122020111001 its reverse (100111020221121), we get a palindrome (221233040332122).

The spelling of 121122020111001 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty million, one hundred eleven thousand, one".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 63381486191 190144458573 443670403337 823959320483 1331011210011 2471877961449 3105692823359 5767715243381 9317078470077 17303145730143 40374006703667 121122020111001