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122121210001021 = 71147137239245881
BaseRepresentation
bin11011110001000110001111…
…010101110111011001111101
3121000101200012002121220202121
4123301012033111313121331
5112001313214230013041
61111421413120522541
734502652266535340
oct3361061725673175
9530350162556677
10122121210001021
1135a03350396860
1211843aaa180451
13531ac99761a2a
1422229ab83a457
15e1b9bd94c7d1
hex6f118f57767d

122121210001021 has 32 divisors (see below), whose sum is σ = 155496248893440. Its totient is φ = 93133659254400.

The previous prime is 122121210001019. The next prime is 122121210001079. The reversal of 122121210001021 is 120100012121221.

It is a cyclic number.

It is not a de Polignac number, because 122121210001021 - 21 = 122121210001019 is a prime.

It is a super-2 number, since 2×1221212100010212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121210000986 and 122121210001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121210001081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496545001 + ... + 496790881.

It is an arithmetic number, because the mean of its divisors is an integer number (4859257777920).

Almost surely, 2122121210001021 is an apocalyptic number.

122121210001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122121210001021 is a deficient number, since it is larger than the sum of its proper divisors (33375038892419).

122121210001021 is a wasteful number, since it uses less digits than its factorization.

122121210001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383185.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122121210001021 its reverse (120100012121221), we get a palindrome (242221222122242).

The spelling of 122121210001021 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred ten million, one thousand, twenty-one".

Divisors: 1 7 11 47 77 329 517 3619 137239 245881 960673 1509629 1721167 2704691 6450233 10567403 11556407 18932837 45151631 70952563 80894849 127120477 496667941 889843339 33744462559 236211237913 371189088149 1585989740273 2598323617043 11101928181911 17445887143003 122121210001021