Search a number
-
+
1122299068800 = 273527131797177
BaseRepresentation
bin10000010101001110001…
…111001100000110000000
310222021211221200211110210
4100111032033030012000
5121341432030200200
62215324351554120
7144040421453640
oct20251617140600
93867757624423
101122299068800
113a2a67625478
1216161382b940
1381aa8890240
143c468c58520
151e2d84a7650
hex1054e3cc180

1122299068800 has 768 divisors, whose sum is σ = 4575682137600. Its totient is φ = 235437096960.

The previous prime is 1122299068757. The next prime is 1122299068819. The reversal of 1122299068800 is 88609922211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1122299068800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156370812 + ... + 156377988.

It is an arithmetic number, because the mean of its divisors is an integer number (5957919450).

Almost surely, 21122299068800 is an apocalyptic number.

1122299068800 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 1122299068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287841068800).

1122299068800 is an abundant number, since it is smaller than the sum of its proper divisors (3453383068800).

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

1122299068800 is a wasteful number, since it uses less digits than its factorization.

1122299068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7403 (or 7386 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 1122299068800 in words is "one trillion, one hundred twenty-two billion, two hundred ninety-nine million, sixty-eight thousand, eight hundred".