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121010120 = 235711101389
BaseRepresentation
bin1110011011001…
…11011111001000
322102200221200022
413031213133020
5221434310440
620001400012
72666366120
oct715473710
9272627608
10121010120
1162341770
1234639008
131c0bb92a
14120ddc80
15a954cb5
hex73677c8

121010120 has 128 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 37248000.

The previous prime is 121010117. The next prime is 121010137. The reversal of 121010120 is 21010121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 121010098 and 121010107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310886 + ... + 311274.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2121010120 is an apocalyptic number.

121010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

121010120 is an abundant number, since it is smaller than the sum of its proper divisors (222689080).

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

121010120 is a wasteful number, since it uses less digits than its factorization.

121010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 121010120 is about 11000.4599903822. The cubic root of 121010120 is about 494.6225330327.

Adding to 121010120 its reverse (21010121), we get a palindrome (142020241).

Subtracting from 121010120 its reverse (21010121), we obtain a palindrome (99999999).

It can be divided in two parts, 1210101 and 20, that added together give a palindrome (1210121).

The spelling of 121010120 in words is "one hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 389 404 440 505 616 707 770 778 808 1010 1111 1414 1540 1556 1945 2020 2222 2723 2828 3080 3112 3535 3890 4040 4279 4444 5446 5555 5656 7070 7777 7780 8558 8888 10892 11110 13615 14140 15554 15560 17116 21395 21784 22220 27230 28280 29953 31108 34232 38885 39289 42790 44440 54460 59906 62216 77770 78578 85580 108920 119812 149765 155540 157156 171160 196445 239624 275023 299530 311080 314312 392890 432179 550046 599060 785780 864358 1100092 1198120 1375115 1571560 1728716 2160895 2200184 2750230 3025253 3457432 4321790 5500460 6050506 8643580 11000920 12101012 15126265 17287160 24202024 30252530 60505060 121010120