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1123700891040 = 25335713192331211
BaseRepresentation
bin10000010110100001110…
…010101101110110100000
310222102110122110210002000
4100112201302231312200
5121402314412003130
62220115425524000
7144120232656150
oct20264162556640
93872418423060
101123700891040
113a3616949252
121619451a3600
1381c70129260
143c55d0c2760
151e36b5ac260
hex105a1cadda0

1123700891040 has 3072 divisors, whose sum is σ = 5514382540800. Its totient is φ = 206928691200.

The previous prime is 1123700890999. The next prime is 1123700891051. The reversal of 1123700891040 is 401980073211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1123700890986 and 1123700891004.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5325596535 + ... + 5325596745.

It is an arithmetic number, because the mean of its divisors is an integer number (1795046400).

Almost surely, 21123700891040 is an apocalyptic number.

1123700891040 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 1123700891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757191270400).

1123700891040 is an abundant number, since it is smaller than the sum of its proper divisors (4390681649760).

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

1123700891040 is a wasteful number, since it uses less digits than its factorization.

1123700891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1123700891040 in words is "one trillion, one hundred twenty-three billion, seven hundred million, eight hundred ninety-one thousand, forty".