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122000012101 = 11296744912713
BaseRepresentation
bin111000110011111000…
…1000111001101000101
3102122220101112202022201
41301213301013031011
53444324000341401
6132013535354501
711546162664322
oct1614761071505
9378811482281
10122000012101
114781590a890
121b789682a31
13b673667096
145c94c05b49
15329086bb01
hex1c67c47345

122000012101 has 32 divisors (see below), whose sum is σ = 140057424000. Its totient is φ = 105243156480.

The previous prime is 122000012093. The next prime is 122000012143. The reversal of 122000012101 is 101210000221.

It is not a de Polignac number, because 122000012101 - 23 = 122000012093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000010101) 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 31 ways as a sum of consecutive naturals, for example, 9590121 + ... + 9602833.

It is an arithmetic number, because the mean of its divisors is an integer number (4376794500).

Almost surely, 2122000012101 is an apocalyptic number.

122000012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122000012101 is a deficient number, since it is larger than the sum of its proper divisors (18057411899).

122000012101 is a wasteful number, since it uses less digits than its factorization.

122000012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13269.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122000012101 its reverse (101210000221), we get a palindrome (223210012322).

The spelling of 122000012101 in words is "one hundred twenty-two billion, twelve thousand, one hundred one".

Divisors: 1 11 29 67 319 449 737 1943 4939 12713 13021 21373 30083 139843 143231 330913 368677 851771 872407 4055447 5708137 9369481 9596477 24701359 62789507 165535973 271714949 382445179 1820895703 4206896969 11090910191 122000012101