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1220211210020 = 22511149112932971
BaseRepresentation
bin10001110000011010010…
…000010111011100100100
311022122120121122221220112
4101300122100113130210
5124442443032210040
62332320212552152
7154104654103415
oct21603220273444
94278517587815
101220211210020
11430541465350
1217859a322658
138b0b097318a
14430b68ad80c
1521b19277365
hex11c1a417724

1220211210020 has 96 divisors (see below), whose sum is σ = 2816732016000. Its totient is φ = 440331494400.

The previous prime is 1220211209963. The next prime is 1220211210041. The reversal of 1220211210020 is 200121120221.

It is a junction number, because it is equal to n+sod(n) for n = 1220211209977 and 1220211210004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36992135 + ... + 37025105.

It is an arithmetic number, because the mean of its divisors is an integer number (29340958500).

Almost surely, 21220211210020 is an apocalyptic number.

1220211210020 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 1220211210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408366008000).

1220211210020 is an abundant number, since it is smaller than the sum of its proper divisors (1596520805980).

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

1220211210020 is a wasteful number, since it uses less digits than its factorization.

1220211210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34269 (or 34267 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220211210020 its reverse (200121120221), we get a palindrome (1420332330241).

The spelling of 1220211210020 in words is "one trillion, two hundred twenty billion, two hundred eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1129 1490 1639 2258 2980 3278 4516 5645 6556 8195 11290 12419 16390 22580 24838 32780 32971 49676 62095 65942 124190 131884 164855 168221 248380 329710 336442 362681 659420 672884 725362 841105 1450724 1682210 1813405 1850431 3364420 3626810 3700862 4912679 7253620 7401724 9252155 9825358 18504310 19650716 24563395 37008620 37224259 49126790 54039469 74448518 98253580 108078938 148897036 186121295 216157876 270197345 372242590 409466849 540394690 744485180 818933698 1080789380 1637867396 2047334245 4094668490 5546414591 8189336980 11092829182 22185658364 27732072955 55464145910 61010560501 110928291820 122021121002 244042242004 305052802505 610105605010 1220211210020