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1201122200010 = 2355910126924977
BaseRepresentation
bin10001011110101000011…
…101100100100111001010
311020211022021022202222210
4101132220131210213022
5124134344240400020
62315442105125550
7152530633150125
oct21365035444712
94224267282883
101201122200010
11423436194617
121749514898b6
138935ac3c295
14421c55a53bc
152139d4a93e0
hex117a87649ca

1201122200010 has 128 divisors (see below), whose sum is σ = 2971702598400. Its totient is φ = 310581555200.

The previous prime is 1201122199993. The next prime is 1201122200023. The reversal of 1201122200010 is 100022211021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48076642 + ... + 48101618.

It is an arithmetic number, because the mean of its divisors is an integer number (23216426550).

Almost surely, 21201122200010 is an apocalyptic number.

1201122200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201122200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485851299200).

1201122200010 is an abundant number, since it is smaller than the sum of its proper divisors (1770580398390).

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

1201122200010 is a wasteful number, since it uses less digits than its factorization.

1201122200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25416.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1201122200010 its reverse (100022211021), we get a palindrome (1301144411031).

The spelling of 1201122200010 in words is "one trillion, two hundred one billion, one hundred twenty-two million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 59 101 118 177 202 269 295 303 354 505 538 590 606 807 885 1010 1345 1515 1614 1770 2690 3030 4035 5959 8070 11918 15871 17877 24977 27169 29795 31742 35754 47613 49954 54338 59590 74931 79355 81507 89385 95226 124885 135845 149862 158710 163014 178770 238065 249770 271690 374655 407535 476130 749310 815070 1473643 1602971 2522677 2947286 3205942 4420929 4808913 5045354 6718813 7368215 7568031 8014855 8841858 9617826 12613385 13437626 14736430 15136062 16029710 20156439 22104645 24044565 25226770 33594065 37840155 40312878 44209290 48089130 67188130 75680310 100782195 148837943 201564390 297675886 396409967 446513829 678600113 744189715 792819934 893027658 1189229901 1357200226 1488379430 1982049835 2035800339 2232569145 2378459802 3393000565 3964099670 4071600678 4465138290 5946149505 6786001130 10179001695 11892299010 20358003390 40037406667 80074813334 120112220001 200187033335 240224440002 400374066670 600561100005 1201122200010