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1120210000120 = 2351011303212801
BaseRepresentation
bin10000010011010001101…
…110000001100011111000
310222002110100202010222201
4100103101232001203320
5121323142230000440
62214341203555544
7143634563615461
oct20232156014370
93862410663881
101120210000120
113a2095383232
1216113008bbb4
1381834b2bb23
143c30b615d68
151e214d9e19a
hex104d1b818f8

1120210000120 has 64 divisors (see below), whose sum is σ = 2547393157440. Its totient is φ = 443304960000.

The previous prime is 1120210000103. The next prime is 1120210000127. The reversal of 1120210000120 is 210000120211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1120210000097 and 1120210000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120210000127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5157720 + ... + 5370520.

It is an arithmetic number, because the mean of its divisors is an integer number (39803018085).

Almost surely, 21120210000120 is an apocalyptic number.

1120210000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120210000120 is an abundant number, since it is smaller than the sum of its proper divisors (1427183157320).

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

1120210000120 is a wasteful number, since it uses less digits than its factorization.

1120210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214216 (or 214212 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1120210000120 its reverse (210000120211), we get a palindrome (1330210120331).

The spelling of 1120210000120 in words is "one trillion, one hundred twenty billion, two hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 1303 2020 2606 4040 5212 6515 10424 13030 26060 52120 131603 212801 263206 425602 526412 658015 851204 1052824 1064005 1316030 1702408 2128010 2632060 4256020 5264120 8512040 21492901 42985802 85971604 107464505 171943208 214929010 277279703 429858020 554559406 859716040 1109118812 1386398515 2218237624 2772797030 5545594060 11091188120 28005250003 56010500006 112021000012 140026250015 224042000024 280052500030 560105000060 1120210000120