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121121010210120 = 23358389136637573
BaseRepresentation
bin11011100010100010101110…
…110010011101010101001000
3120212212001111110021001200120
4123202202232302131111020
5111333421312103210440
61105334120212103240
734340463354562464
oct3342425662352510
9525761443231616
10121121010210120
113565814a711018
1211702091304b20
13527787bc8312b
1421ca406a674a4
15e0097e8bddd0
hex6e28aec9d548

121121010210120 has 128 divisors (see below), whose sum is σ = 371872821398400. Its totient is φ = 31551255025664.

The previous prime is 121121010210023. The next prime is 121121010210139. The reversal of 121121010210120 is 21012010121121.

It is a happy number.

It is a super-2 number, since 2×1211210102101202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121121010210120.

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, 67432347 + ... + 69205226.

It is an arithmetic number, because the mean of its divisors is an integer number (2905256417175).

Almost surely, 2121121010210120 is an apocalyptic number.

121121010210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121010210120 is an abundant number, since it is smaller than the sum of its proper divisors (250751811188280).

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

121121010210120 is a wasteful number, since it uses less digits than its factorization.

121121010210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136637759 (or 136637755 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121121010210120 its reverse (21012010121121), we get a palindrome (142133020331241).

The spelling of 121121010210120 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 89 120 166 178 249 267 332 356 415 445 498 534 664 712 830 890 996 1068 1245 1335 1660 1780 1992 2136 2490 2670 3320 3560 4980 5340 7387 9960 10680 14774 22161 29548 36935 44322 59096 73870 88644 110805 147740 177288 221610 295480 443220 886440 136637573 273275146 409912719 546550292 683187865 819825438 1093100584 1366375730 1639650876 2049563595 2732751460 3279301752 4099127190 5465502920 8198254380 11340918559 12160743997 16396508760 22681837118 24321487994 34022755677 36482231991 45363674236 48642975988 56704592795 60803719985 68045511354 72964463982 90727348472 97285951976 113409185590 121607439970 136091022708 145928927964 170113778385 182411159955 226818371180 243214879940 272182045416 291857855928 340227556770 364822319910 453636742360 486429759880 680455113540 729644639820 1009341751751 1360910227080 1459289279640 2018683503502 3028025255253 4037367007004 5046708758755 6056050510506 8074734014008 10093417517510 12112101021012 15140126276265 20186835035020 24224202042024 30280252552530 40373670070040 60560505105060 121121010210120