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1120011212120 = 235298531131919
BaseRepresentation
bin10000010011000101110…
…111101101010101011000
310222001221111200200010012
4100103011313231111120
5121322240332241440
62214305343141052
7143626631136563
oct20230567552530
93861844620105
101120011212120
113a1aa3148929
121610955a4788
13818028aa3a8
143c2cd06b4da
151e2026d3e65
hex104c5ded558

1120011212120 has 64 divisors (see below), whose sum is σ = 2609981136000. Its totient is φ = 432048572928.

The previous prime is 1120011212119. The next prime is 1120011212147. The reversal of 1120011212120 is 212121100211.

It is a junction number, because it is equal to n+sod(n) for n = 1120011212095 and 1120011212104.

It is a congruent number.

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, 423521 + ... + 1555439.

It is an arithmetic number, because the mean of its divisors is an integer number (40780955250).

Almost surely, 21120011212120 is an apocalyptic number.

1120011212120 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 1120011212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304990568000).

1120011212120 is an abundant number, since it is smaller than the sum of its proper divisors (1489969923880).

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

1120011212120 is a wasteful number, since it uses less digits than its factorization.

1120011212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132812 (or 1132808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1120011212120 its reverse (212121100211), we get a palindrome (1332132312331).

The spelling of 1120011212120 in words is "one trillion, one hundred twenty billion, eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 853 1160 1706 3412 4265 6824 8530 17060 24737 34120 49474 98948 123685 197896 247370 494740 989480 1131919 2263838 4527676 5659595 9055352 11319190 22638380 32825651 45276760 65651302 131302604 164128255 262605208 328256510 656513020 965526907 1313026040 1931053814 3862107628 4827634535 7724215256 9655269070 19310538140 28000280303 38621076280 56000560606 112001121212 140001401515 224002242424 280002803030 560005606060 1120011212120