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121121220102210 = 23251772577592317
BaseRepresentation
bin11011100010100010111011…
…010011001000100001000010
3120212212002001002012200111200
4123202202323103020201002
5111333422224321232320
61105334153110522030
734340501513616666
oct3342427323104102
9525762032180450
10121121220102210
1135658248140059
121170212b666316
1352778b35c1b33
1421ca4268a28a6
15e0099302e290
hex6e28bb4c8842

121121220102210 has 48 divisors (see below), whose sum is σ = 314916990346296. Its totient is φ = 32298805557504.

The previous prime is 121121220102191. The next prime is 121121220102227. The reversal of 121121220102210 is 12201022121121.

121121220102210 is a `hidden beast` number, since 1 + 211 + 2 + 1 + 220 + 10 + 221 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117280517729769 + 3840702372441 = 10829613^2 + 1959771^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12156972 + ... + 19749288.

Almost surely, 2121121220102210 is an apocalyptic number.

121121220102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121121220102210 is an abundant number, since it is smaller than the sum of its proper divisors (193795770244086).

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

121121220102210 is a wasteful number, since it uses less digits than its factorization.

121121220102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7769587 (or 7769584 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121121220102210 its reverse (12201022121121), we get a palindrome (133322242223331).

The spelling of 121121220102210 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 177257 354514 531771 886285 1063542 1595313 1772570 2658855 3190626 5317710 7592317 7976565 15184634 15953130 22776951 37961585 45553902 68330853 75923170 113884755 136661706 227769510 341654265 683308530 1345791334469 2691582668938 4037374003407 6728956672345 8074748006814 12112122010221 13457913344690 20186870017035 24224244020442 40373740034070 60560610051105 121121220102210