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1122202706040 = 2332513476776147
BaseRepresentation
bin10000010101001000011…
…111100110000001111000
310222021121020101002121200
4100111020133212001320
5121341232343043130
62215311030334200
7144035141420643
oct20251037460170
93867536332550
101122202706040
113a2a18198729
121615a74ba360
1381a91921160
143c45a132a5a
151e2cecc0760
hex105487e6078

1122202706040 has 384 divisors, whose sum is σ = 4071201039360. Its totient is φ = 266318502912.

The previous prime is 1122202706003. The next prime is 1122202706063. The reversal of 1122202706040 is 406072022211.

1122202706040 is a `hidden beast` number, since 1 + 12 + 2 + 20 + 27 + 0 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1122202705995 and 1122202706013.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 14699247 + ... + 14775393.

It is an arithmetic number, because the mean of its divisors is an integer number (10602086040).

Almost surely, 21122202706040 is an apocalyptic number.

1122202706040 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 1122202706040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035600519680).

1122202706040 is an abundant number, since it is smaller than the sum of its proper divisors (2948998333320).

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

1122202706040 is a wasteful number, since it uses less digits than its factorization.

1122202706040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76291 (or 76284 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 1122202706040 its reverse (406072022211), we get a palindrome (1528274728251).

The spelling of 1122202706040 in words is "one trillion, one hundred twenty-two billion, two hundred two million, seven hundred six thousand, forty".