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121121211012210 = 23351923610372517
BaseRepresentation
bin11011100010100010111010…
…110000011101010001110010
3120212212002000110002212101000
4123202202322300131101302
5111333422220004342320
61105334152144022430
734340501343430353
oct3342427260352162
9525762013085330
10121121211012210
1135658242aa1662
1211702128601a16
1352778b175b536
1421ca4255b7d2a
15e00992335c90
hex6e28bac1d472

121121211012210 has 64 divisors (see below), whose sum is σ = 339989364259200. Its totient is φ = 30599042780736.

The previous prime is 121121211012181. The next prime is 121121211012251. The reversal of 121121211012210 is 12210112121121.

It is a happy number.

121121211012210 is a `hidden beast` number, since 1 + 211 + 21 + 211 + 0 + 1 + 221 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 11805181129 + ... + 11805191388.

It is an arithmetic number, because the mean of its divisors is an integer number (5312333816550).

Almost surely, 2121121211012210 is an apocalyptic number.

121121211012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121121211012210 is an abundant number, since it is smaller than the sum of its proper divisors (218868153246990).

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

121121211012210 is a wasteful number, since it uses less digits than its factorization.

121121211012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23610372552 (or 23610372546 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121121211012210 its reverse (12210112121121), we get a palindrome (133331323133331).

The spelling of 121121211012210 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred eleven million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 23610372517 47220745034 70831117551 118051862585 141662235102 212493352653 236103725170 354155587755 424986705306 448597077823 637480057959 708311175510 897194155646 1062466763265 1274960115918 1345791233469 2124933526530 2242985389115 2691582466938 3187400289795 4037373700407 4485970778230 6374800579590 6728956167345 8074747400814 12112121101221 13457912334690 20186868502035 24224242202442 40373737004070 60560605506105 121121211012210