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2210121221120 = 21052931473257
BaseRepresentation
bin100000001010010101011…
…111011000010000000000
321211021201010222211200222
4200022111133120100000
5242202312013033440
64411152104002212
7315450602262251
oct40122537302000
97737633884628
102210121221120
117823418a223a
122b8405160368
1313054b704687
1478d82c4ab28
153c754ca72b5
hex202957d8400

2210121221120 has 88 divisors (see below), whose sum is σ = 5319799098264. Its totient is φ = 881030660096.

The previous prime is 2210121221057. The next prime is 2210121221137. The reversal of 2210121221120 is 211221210122.

It can be written as a sum of positive squares in 4 ways, for example, as 1110005530624 + 1100115690496 = 1053568^2 + 1048864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763532 + ... + 2236788.

Almost surely, 22210121221120 is an apocalyptic number.

2210121221120 is a gapful number since it is divisible by the number (20) 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 2210121221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659899549132).

2210121221120 is an abundant number, since it is smaller than the sum of its proper divisors (3109677877144).

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

2210121221120 is a wasteful number, since it uses less digits than its factorization.

2210121221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473575 (or 1473557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2210121221120 its reverse (211221210122), we get a palindrome (2421342431242).

The spelling of 2210121221120 in words is "two trillion, two hundred ten billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 293 320 512 586 640 1024 1172 1280 1465 2344 2560 2930 4688 5120 5860 9376 11720 18752 23440 37504 46880 75008 93760 150016 187520 300032 375040 750080 1473257 1500160 2946514 5893028 7366285 11786056 14732570 23572112 29465140 47144224 58930280 94288448 117860560 188576896 235721120 377153792 431664301 471442240 754307584 863328602 942884480 1508615168 1726657204 1885768960 2158321505 3453314408 3771537920 4316643010 6906628816 7543075840 8633286020 13813257632 17266572040 27626515264 34533144080 55253030528 69066288160 110506061056 138132576320 221012122112 276265152640 442024244224 552530305280 1105060610560 2210121221120