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121220100112002 = 23293718828844379
BaseRepresentation
bin11011100011111111000001…
…000000011011111010000010
3120220012112021012101122000120
4123203333001000123322002
5111342032231112041002
61105451424544401110
734350602041053633
oct3343770100337202
9526175235348016
10121220100112002
1135696179347a11
1211719326316196
135284011071a78
1421d1126c9d88a
15e0332dc84cbc
hex6e3fc101be82

121220100112002 has 32 divisors (see below), whose sum is σ = 257578591118400. Its totient is φ = 37958950266048.

The previous prime is 121220100111967. The next prime is 121220100112037. The reversal of 121220100112002 is 200211001022121.

121220100112002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121220100111967) and next prime (121220100112037).

It is a super-3 number, since 3×1212201001120023 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9414415752 + ... + 9414428627.

It is an arithmetic number, because the mean of its divisors is an integer number (8049330972450).

Almost surely, 2121220100112002 is an apocalyptic number.

121220100112002 is an abundant number, since it is smaller than the sum of its proper divisors (136358491006398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121220100112002 is a wasteful number, since it uses less digits than its factorization.

121220100112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18828844450.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121220100112002 its reverse (200211001022121), we get a palindrome (321431101134123).

The spelling of 121220100112002 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 29 37 58 74 87 111 174 222 1073 2146 3219 6438 18828844379 37657688758 56486533137 112973066274 546036486991 696667242023 1092072973982 1393334484046 1638109460973 2090001726069 3276218921946 4180003452138 20203350018667 40406700037334 60610050056001 121220100112002