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121000122222020 = 22541235811005041
BaseRepresentation
bin11011100000110010001001…
…010011011000010111000100
3120212102111110120011222111222
4123200302021103120113010
5111324431222242101040
61105202404435015512
734325653553620466
oct3340621123302704
9525374416158458
10121000122222020
1135610955589338
12116a277413a598
135269354b19922
1421c4619810136
15dec7569b0bb5
hex6e0c894d85c4

121000122222020 has 72 divisors (see below), whose sum is σ = 260521974090504. Its totient is φ = 47206326784000.

The previous prime is 121000122222017. The next prime is 121000122222041. The reversal of 121000122222020 is 20222221000121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 25912192521604 + 95087929700416 = 5090402^2 + 9751304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121000122222020.

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, 119890700 + ... + 120895740.

It is an arithmetic number, because the mean of its divisors is an integer number (3618360751257).

Almost surely, 2121000122222020 is an apocalyptic number.

121000122222020 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 121000122222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130260987045252).

121000122222020 is an abundant number, since it is smaller than the sum of its proper divisors (139521851868484).

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

121000122222020 is a wasteful number, since it uses less digits than its factorization.

121000122222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008713 (or 1008670 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 121000122222020 its reverse (20222221000121), we get a palindrome (141222343222141).

The spelling of 121000122222020 in words is "one hundred twenty-one trillion, one hundred twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1681 3362 3581 6724 7162 8405 14324 16810 17905 33620 35810 71620 146821 293642 587284 734105 1005041 1468210 2010082 2936420 4020164 5025205 6019661 10050410 12039322 20100820 24078644 30098305 41206681 60196610 82413362 120393220 164826724 206033405 412066810 824133620 1689473921 3378947842 3599051821 6757895684 7198103642 8447369605 14396207284 16894739210 17995259105 33789478420 35990518210 71981036420 147561124661 295122249322 590244498644 737805623305 1475611246610 2951222493220 6050006111101 12100012222202 24200024444404 30250030555505 60500061111010 121000122222020