Search a number
-
+
1122121201012 = 227431847504599
BaseRepresentation
bin10000010101000011101…
…000101011010101110100
310222021101120000012201221
4100111003220223111310
5121341101011413022
62215254555400124
7144033131555650
oct20250350532564
93867346005657
101122121201012
113a29861897a9
12161584153044
1381a7aa84a26
143c44d397a60
151e2c7a70cc7
hex10543a2b574

1122121201012 has 48 divisors (see below), whose sum is σ = 2297681971200. Its totient is φ = 469469905632.

The previous prime is 1122121200997. The next prime is 1122121201063. The reversal of 1122121201012 is 2101021212211.

It is a super-2 number, since 2×11221212010122 (a number of 25 digits) contains 22 as substring.

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, 1971489 + ... + 2476087.

It is an arithmetic number, because the mean of its divisors is an integer number (47868374400).

Almost surely, 21122121201012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122121201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148840985600).

1122121201012 is an abundant number, since it is smaller than the sum of its proper divisors (1175560770188).

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

1122121201012 is a wasteful number, since it uses less digits than its factorization.

1122121201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506500 (or 506498 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122121201012 its reverse (2101021212211), we get a palindrome (3223142413223).

The spelling of 1122121201012 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred one thousand, twelve".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 1847 3694 7388 12929 25858 51716 79421 158842 317684 504599 555947 1009198 1111894 2018396 2223788 3532193 7064386 14128772 21697757 43395514 86791028 151884299 303768598 607537196 931994353 1863988706 3727977412 6523960471 13047920942 26095841884 40075757179 80151514358 160303028716 280530300253 561060600506 1122121201012