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121121210221020 = 223251533434388173
BaseRepresentation
bin11011100010100010111010…
…101101011100000111011100
3120212212002000101121200001200
4123202202322231130013130
5111333422214304033040
61105334152115035500
734340501333623602
oct3342427255340734
9525762011550050
10121121210221020
1135658242601189
121170212829bb90
1352778b1542389
1421ca42544d872
15e0099222b630
hex6e28bab5c1dc

121121210221020 has 72 divisors (see below), whose sum is σ = 367403484005376. Its totient is φ = 32298771399552.

The previous prime is 121121210220971. The next prime is 121121210221051. The reversal of 121121210221020 is 20122012121121.

121121210221020 is a `hidden beast` number, since 1 + 211 + 2 + 1 + 210 + 221 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121121210220984 and 121121210221002.

It is a congruent number.

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, 25407654 + ... + 29795826.

Almost surely, 2121121210221020 is an apocalyptic number.

121121210221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121210221020 is an abundant number, since it is smaller than the sum of its proper divisors (246282273784356).

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

121121210221020 is a wasteful number, since it uses less digits than its factorization.

121121210221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541531 (or 4541526 counting only the distinct ones).

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

Adding to 121121210221020 its reverse (20122012121121), we get a palindrome (141243222342141).

The spelling of 121121210221020 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 153343 306686 460029 613372 766715 920058 1380087 1533430 1840116 2300145 2760174 3066860 4388173 4600290 5520348 6900435 8776346 9200580 13164519 13800870 17552692 21940865 26329038 27601740 39493557 43881730 52658076 65822595 78987114 87763460 131645190 157974228 197467785 263290380 394935570 789871140 672895612339 1345791224678 2018686837017 2691582449356 3364478061695 4037373674034 6056060511051 6728956123390 8074747348068 10093434185085 12112121022102 13457912246780 20186868370170 24224242044204 30280302555255 40373736740340 60560605110510 121121210221020