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1222111345040 = 245111971364329
BaseRepresentation
bin10001110010001011100…
…000110011100110010000
311022211111001002211010122
4101302023200303212100
5130010341001020130
62333232531245412
7154203026014565
oct21621340634620
94284431084118
101222111345040
11431326aa2973
12178a2a749868
138b324523321
1443216db086c
1521bcaeb02e5
hex11c8b833990

1222111345040 has 40 divisors (see below), whose sum is σ = 2841664725240. Its totient is φ = 488800521216.

The previous prime is 1222111345031. The next prime is 1222111345097. The reversal of 1222111345040 is 405431112221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86360752384 + 1135750592656 = 293872^2 + 1065716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12221113450402 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 213596 + ... + 1577924.

It is an arithmetic number, because the mean of its divisors is an integer number (71041618131).

Almost surely, 21222111345040 is an apocalyptic number.

1222111345040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222111345040 is an abundant number, since it is smaller than the sum of its proper divisors (1619553380200).

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

1222111345040 is a wasteful number, since it uses less digits than its factorization.

1222111345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375539 (or 1375533 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 1222111345040 its reverse (405431112221), we get a palindrome (1627542457261).

The spelling of 1222111345040 in words is "one trillion, two hundred twenty-two billion, one hundred eleven million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11197 22394 44788 55985 89576 111970 179152 223940 447880 895760 1364329 2728658 5457316 6821645 10914632 13643290 21829264 27286580 54573160 109146320 15276391813 30552783626 61105567252 76381959065 122211134504 152763918130 244422269008 305527836260 611055672520 1222111345040