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1120001121220 = 225163735939521
BaseRepresentation
bin10000010011000101010…
…001001101101111000100
310222001220210201000000011
4100103011101031233010
5121322230241334340
62214304343000004
7143626446311212
oct20230521155704
93861823630004
101120001121220
113a1a98486443
12161092139004
1381800786347
143c2cb9a1cb2
151e20188e0ea
hex104c544dbc4

1120001121220 has 48 divisors (see below), whose sum is σ = 2354341390128. Its totient is φ = 447555153920.

The previous prime is 1120001121157. The next prime is 1120001121233. The reversal of 1120001121220 is 221211000211.

It can be written as a sum of positive squares in 8 ways, for example, as 256651665664 + 863349455556 = 506608^2 + 929166^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1120001121220.

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 15 ways as a sum of consecutive naturals, for example, 117630060 + ... + 117639580.

It is an arithmetic number, because the mean of its divisors is an integer number (49048778961).

Almost surely, 21120001121220 is an apocalyptic number.

1120001121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120001121220 is an abundant number, since it is smaller than the sum of its proper divisors (1234340268908).

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

1120001121220 is a wasteful number, since it uses less digits than its factorization.

1120001121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1120001121220 its reverse (221211000211), we get a palindrome (1341212121431).

The spelling of 1120001121220 in words is "one trillion, one hundred twenty billion, one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1637 3274 3593 6548 7186 8185 9521 14372 16370 17965 19042 32740 35930 38084 47605 71860 95210 190420 5881741 11763482 15585877 23526964 29408705 31171754 34208953 58817410 62343508 68417906 77929385 117634820 136835812 155858770 171044765 311717540 342089530 684179060 56000056061 112000112122 224000224244 280000280305 560000560610 1120001121220