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122020120101 = 31153210113033
BaseRepresentation
bin111000110100011110…
…1110100011000100101
3102122221210101100022110
41301220331310120211
53444344122320401
6132015534351233
711546525623245
oct1615075643045
9378853340273
10122020120101
11478261a4270
121b79435b519
13b6778876c9
145c9775bb25
1532924de9d6
hex1c68f74625

122020120101 has 48 divisors (see below), whose sum is σ = 182700810432. Its totient is φ = 71832384000.

The previous prime is 122020120097. The next prime is 122020120127. The reversal of 122020120101 is 101021020221.

It is not a de Polignac number, because 122020120101 - 22 = 122020120097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9355881 + ... + 9368913.

It is an arithmetic number, because the mean of its divisors is an integer number (3806266884).

Almost surely, 2122020120101 is an apocalyptic number.

122020120101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122020120101 is a deficient number, since it is larger than the sum of its proper divisors (60680690331).

122020120101 is a wasteful number, since it uses less digits than its factorization.

122020120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13254 (or 13201 counting only the distinct ones).

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

Adding to 122020120101 its reverse (101021020221), we get a palindrome (223041140322).

It can be divided in two parts, 122020120 and 101, that added together give a palindrome (122020221).

The spelling of 122020120101 in words is "one hundred twenty-two billion, twenty million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 11 33 53 101 159 303 583 1111 1749 2809 3333 5353 8427 13033 16059 30899 39099 58883 92697 143363 176649 283709 430089 690749 851127 1316333 2072247 3120799 3948999 7598239 9362397 14479663 22794717 36609697 43438989 69765649 109829091 209296947 402706667 767422139 1208120001 2302266417 3697579397 11092738191 40673373367 122020120101