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1123972864960 = 2651117187110039
BaseRepresentation
bin10000010110110010000…
…000001101101111000000
310222110011121020111011011
4100112302000031233000
5121403344023134320
62220202423130304
7144130044501061
oct20266200155700
93873147214134
101123972864960
113a3746420290
12161a002a3994
1381cb459367a
143c58727c568
151e3853d205a
hex105b200dbc0

1123972864960 has 224 divisors, whose sum is σ = 3093486888960. Its totient is φ = 384431308800.

The previous prime is 1123972864853. The next prime is 1123972864961. The reversal of 1123972864960 is 694682793211.

It is a junction number, because it is equal to n+sod(n) for n = 1123972864895 and 1123972864904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123972864961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111955621 + ... + 111965659.

Almost surely, 21123972864960 is an apocalyptic number.

1123972864960 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 1123972864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546743444480).

1123972864960 is an abundant number, since it is smaller than the sum of its proper divisors (1969514024000).

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

1123972864960 is a wasteful number, since it uses less digits than its factorization.

1123972864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11955 (or 11945 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 1123972864960 in words is "one trillion, one hundred twenty-three billion, nine hundred seventy-two million, eight hundred sixty-four thousand, nine hundred sixty".