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1120012210000 = 2454927712073
BaseRepresentation
bin10000010011000101111…
…011100000111101010000
310222001221120120100221201
4100103011323200331100
5121322241111210000
62214305420400544
7143626642464055
oct20230573407520
93861846510851
101120012210000
113a1aa376a622
121610959a6154
1381802b69658
143c2cd24b02c
151e20282e96a
hex104c5ee0f50

1120012210000 has 100 divisors (see below), whose sum is σ = 2712178490692. Its totient is φ = 447919488000.

The previous prime is 1120012209991. The next prime is 1120012210001. The reversal of 1120012210000 is 122100211.

It can be written as a sum of positive squares in 10 ways, for example, as 986398566976 + 133613643024 = 993176^2 + 365532^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120012210001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92763964 + ... + 92776036.

Almost surely, 21120012210000 is an apocalyptic number.

1120012210000 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 1120012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356089245346).

1120012210000 is an abundant number, since it is smaller than the sum of its proper divisors (1592166280692).

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

1120012210000 is an equidigital number, since it uses as much as digits as its factorization.

1120012210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21378 (or 21357 counting only the distinct ones).

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

Adding to 1120012210000 its reverse (122100211), we get a palindrome (1120134310211).

The spelling of 1120012210000 in words is "one trillion, one hundred twenty billion, twelve million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 9277 10000 12073 18554 24146 37108 46385 48292 60365 74216 92770 96584 120730 148432 185540 193168 231925 241460 301825 371080 463850 482920 603650 742160 927700 965840 1159625 1207300 1509125 1855400 2319250 2414600 3018250 3710800 4638500 4829200 5798125 6036500 7545625 9277000 11596250 12073000 15091250 18554000 23192500 24146000 30182500 46385000 60365000 92770000 112001221 120730000 224002442 448004884 560006105 896009768 1120012210 1792019536 2240024420 2800030525 4480048840 5600061050 8960097680 11200122100 14000152625 22400244200 28000305250 44800488400 56000610500 70000763125 112001221000 140001526250 224002442000 280003052500 560006105000 1120012210000