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1220120211120 = 243515643324991
BaseRepresentation
bin10001110000010100110…
…101001110111010110000
311022122100021102201212220
4101300110311032322300
5124442301233223440
62332303202321040
7154102500450456
oct21602465167260
94278307381786
101220120211120
114304a5061548
12178573959180
138b097b61685
14430a87829d6
1521b1129e8d0
hex11c14d4eeb0

1220120211120 has 80 divisors (see below), whose sum is σ = 3782626086912. Its totient is φ = 325343589120.

The previous prime is 1220120211109. The next prime is 1220120211131. The reversal of 1220120211120 is 211120210221.

It is an interprime number because it is at equal distance from previous prime (1220120211109) and next prime (1220120211131).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1220120211120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3591825 + ... + 3916815.

Almost surely, 21220120211120 is an apocalyptic number.

1220120211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220120211120 is an abundant number, since it is smaller than the sum of its proper divisors (2562505875792).

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

1220120211120 is a wasteful number, since it uses less digits than its factorization.

1220120211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340650 (or 340644 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220120211120 its reverse (211120210221), we get a palindrome (1431240421341).

The spelling of 1220120211120 in words is "one trillion, two hundred twenty billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15643 31286 46929 62572 78215 93858 125144 156430 187716 234645 250288 312860 324991 375432 469290 625720 649982 750864 938580 974973 1251440 1299964 1624955 1877160 1949946 2599928 3249910 3754320 3899892 4874865 5199856 6499820 7799784 9749730 12999640 15599568 19499460 25999280 38998920 77997840 5083834213 10167668426 15251502639 20335336852 25419171065 30503005278 40670673704 50838342130 61006010556 76257513195 81341347408 101676684260 122012021112 152515026390 203353368520 244024042224 305030052780 406706737040 610060105560 1220120211120