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1220201021120 = 26529307428297
BaseRepresentation
bin10001110000011001101…
…001011111111011000000
311022122112220111022100212
4101300121221133323000
5124442432430133440
62332315210333252
7154104501356234
oct21603151377300
94278486438325
101220201021120
11430536736274
12178596a2a228
138b0ab816643
14430b53ba5c4
1521b18413465
hex11c19a5fec0

1220201021120 has 112 divisors (see below), whose sum is σ = 3015594822240. Its totient is φ = 469713936384.

The previous prime is 1220201021077. The next prime is 1220201021131. The reversal of 1220201021120 is 211201020221.

It is a junction number, because it is equal to n+sod(n) for n = 1220201021095 and 1220201021104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2634812 + ... + 3063108.

It is an arithmetic number, because the mean of its divisors is an integer number (26924953770).

Almost surely, 21220201021120 is an apocalyptic number.

1220201021120 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 1220201021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507797411120).

1220201021120 is an abundant number, since it is smaller than the sum of its proper divisors (1795393801120).

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

1220201021120 is a wasteful number, since it uses less digits than its factorization.

1220201021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428650 (or 428640 counting only the distinct ones).

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

Adding to 1220201021120 its reverse (211201020221), we get a palindrome (1431402041341).

The spelling of 1220201021120 in words is "one trillion, two hundred twenty billion, two hundred one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 307 320 464 580 614 928 1160 1228 1535 1856 2320 2456 3070 4640 4912 6140 8903 9280 9824 12280 17806 19648 24560 35612 44515 49120 71224 89030 98240 142448 178060 284896 356120 428297 569792 712240 856594 1424480 1713188 2141485 2848960 3426376 4282970 6852752 8565940 12420613 13705504 17131880 24841226 27411008 34263760 49682452 62103065 68527520 99364904 124206130 131487179 137055040 198729808 248412260 262974358 397459616 496824520 525948716 657435895 794919232 993649040 1051897432 1314871790 1987298080 2103794864 2629743580 3813128191 3974596160 4207589728 5259487160 7626256382 8415179456 10518974320 15252512764 19065640955 21037948640 30505025528 38131281910 42075897280 61010051056 76262563820 122020102112 152525127640 244040204224 305050255280 610100510560 1220201021120