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121220002221000 = 2335356517150357
BaseRepresentation
bin11011100011111110111011…
…001011000000101111001000
3120220012112000101012020210220
4123203332323023000233020
5111342032031032033000
61105451411130310040
734350566442024264
oct3343767313005710
9526175011166726
10121220002221000
1135696129066a61
12117192b9588320
135283cc69b91b7
1421d1117c9b0a4
15e0332539a1a0
hex6e3fbb2c0bc8

121220002221000 has 128 divisors (see below), whose sum is σ = 378273387173760. Its totient is φ = 32319609120000.

The previous prime is 121220002220921. The next prime is 121220002221077. The reversal of 121220002221000 is 122200022121.

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

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, 13377822 + ... + 20528178.

It is an arithmetic number, because the mean of its divisors is an integer number (2955260837295).

Almost surely, 2121220002221000 is an apocalyptic number.

121220002221000 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 121220002221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189136693586880).

121220002221000 is an abundant number, since it is smaller than the sum of its proper divisors (257053384952760).

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

121220002221000 is a wasteful number, since it uses less digits than its factorization.

121220002221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7156032 (or 7156018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 121220002221000 its reverse (122200022121), we get a palindrome (121342202243121).

The spelling of 121220002221000 in words is "one hundred twenty-one trillion, two hundred twenty billion, two million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5651 11302 16953 22604 28255 33906 45208 56510 67812 84765 113020 135624 141275 169530 226040 282550 339060 423825 565100 678120 706375 847650 1130200 1412750 1695300 2119125 2825500 3390600 4238250 5651000 7150357 8476500 14300714 16953000 21451071 28601428 35751785 42902142 57202856 71503570 85804284 107255355 143007140 171608568 178758925 214510710 286014280 357517850 429021420 536276775 715035700 858042840 893794625 1072553550 1430071400 1787589250 2145107100 2681383875 3575178500 4290214200 5362767750 7150357000 10725535500 21451071000 40406667407 80813334814 121220002221 161626669628 202033337035 242440004442 323253339256 404066674070 484880008884 606100011105 808133348140 969760017768 1010166685175 1212200022210 1616266696280 2020333370350 2424400044420 3030500055525 4040666740700 4848800088840 5050833425875 6061000111050 8081333481400 10101666851750 12122000222100 15152500277625 20203333703500 24244000444200 30305000555250 40406667407000 60610001110500 121220002221000