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12447422211840 = 2835711231830331
BaseRepresentation
bin1011010100100010010000…
…1011011110011100000000
31122001221222020220102211120
42311020210023132130000
53112414310041234330
642250133344512240
72423203504035630
oct265104413363400
948057866812746
1012447422211840
113a69a16375910
12149048861b680
136c3a2ca03ab5
1431065bdb26c0
15168bbcc19c10
hexb52242de700

12447422211840 has 576 divisors, whose sum is σ = 51718329556992. Its totient is φ = 2474020454400.

The previous prime is 12447422211821. The next prime is 12447422211859. The reversal of 12447422211840 is 4811222474421.

It is an interprime number because it is at equal distance from previous prime (12447422211821) and next prime (12447422211859).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12447422211792 and 12447422211801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5885475 + ... + 7715805.

It is an arithmetic number, because the mean of its divisors is an integer number (89788766592).

Almost surely, 212447422211840 is an apocalyptic number.

12447422211840 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 12447422211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25859164778496).

12447422211840 is an abundant number, since it is smaller than the sum of its proper divisors (39270907345152).

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

12447422211840 is a wasteful number, since it uses less digits than its factorization.

12447422211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830396 (or 1830382 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

The spelling of 12447422211840 in words is "twelve trillion, four hundred forty-seven billion, four hundred twenty-two million, two hundred eleven thousand, eight hundred forty".