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121342222243121 = 11210115763241993
BaseRepresentation
bin11011100101110000110000…
…000011011001010100110001
3120220122012111002201200010212
4123211300300003121110301
5111401032332343234441
61110023503005433505
734362454246046345
oct3345606003312461
9526565432650125
10121342222243121
1135732a47086600
1211738b2886b895
1352926a3ac5409
1421d6dcddb3625
15e065ca1c4eeb
hex6e5c300d9531

121342222243121 has 24 divisors (see below), whose sum is σ = 135554660715432. Its totient is φ = 108523258272000.

The previous prime is 121342222243097. The next prime is 121342222243133.

It is a happy number.

121342222243121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 78925189480225 + 42417032762896 = 8883985^2 + 6512836^2 .

It is not a de Polignac number, because 121342222243121 - 210 = 121342222242097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121342222243321) 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, 29702300 + ... + 33539693.

It is an arithmetic number, because the mean of its divisors is an integer number (5648110863143).

Almost surely, 2121342222243121 is an apocalyptic number.

121342222243121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121342222243121 is a deficient number, since it is larger than the sum of its proper divisors (14212438472311).

121342222243121 is a wasteful number, since it uses less digits than its factorization.

121342222243121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63242273 (or 63242262 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 121342222243121 in words is "one hundred twenty-one trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 11 101 121 157 1111 1727 12221 15857 18997 174427 1918697 63241993 695661923 6387441293 7652281153 9928992901 70261854223 109218921911 772880396453 1002828283001 1201408141021 11031111113011 121342222243121