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121002113101220 = 225132978915622973
BaseRepresentation
bin11011100000110011111111…
…111101111110110110100100
3120212102200121022101010100122
4123200303333331332312210
5111324444311423214340
61105203334154301112
734326054110044151
oct3340637775766644
9525380538333318
10121002113101220
113561178736634a
12116a302aa27798
1352695b141c660
1421c4767db3228
15dec821670db5
hex6e0cfff7eda4

121002113101220 has 48 divisors (see below), whose sum is σ = 273660136530480. Its totient is φ = 44676200633856.

The previous prime is 121002113101153. The next prime is 121002113101231. The reversal of 121002113101220 is 22101311200121.

It is a happy number.

121002113101220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 78944397824356 + 42057715276864 = 8885066^2 + 6485192^2 .

It is a super-2 number, since 2×1210021131012202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66347 + ... + 15556626.

It is an arithmetic number, because the mean of its divisors is an integer number (5701252844385).

Almost surely, 2121002113101220 is an apocalyptic number.

121002113101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121002113101220 is an abundant number, since it is smaller than the sum of its proper divisors (152658023429260).

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

121002113101220 is a wasteful number, since it uses less digits than its factorization.

121002113101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15652784 (or 15652782 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 121002113101220 its reverse (22101311200121), we get a palindrome (143103424301341).

The spelling of 121002113101220 in words is "one hundred twenty-one trillion, two billion, one hundred thirteen million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 29789 59578 119156 148945 297890 387257 595780 774514 1549028 1936285 3872570 7745140 15622973 31245946 62491892 78114865 156229730 203098649 312459460 406197298 812394596 1015493245 2030986490 4061972980 465392742697 930785485394 1861570970788 2326963713485 4653927426970 6050105655061 9307854853940 12100211310122 24200422620244 30250528275305 60501056550610 121002113101220