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14120212597920 = 25345111367113717
BaseRepresentation
bin1100110101111001111001…
…0000011000110010100000
31211222212201220010122210000
43031132132100120302200
53322321143411113140
650010423000140000
72655103013520012
oct315363620306240
954885656118700
1014120212597920
114554391997770
121700712767600
137b56b81b67b0
1436b5c9b161b2
1519747489aa30
hexcd79e418ca0

14120212597920 has 960 divisors, whose sum is σ = 59418895890816. Its totient is φ = 3112579768320.

The previous prime is 14120212597891. The next prime is 14120212597963. The reversal of 14120212597920 is 2979521202141.

14120212597920 is a `hidden beast` number, since 1 + 4 + 1 + 20 + 2 + 12 + 597 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 124112902 + ... + 124226618.

Almost surely, 214120212597920 is an apocalyptic number.

14120212597920 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 14120212597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29709447945408).

14120212597920 is an abundant number, since it is smaller than the sum of its proper divisors (45298683292896).

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

14120212597920 is a wasteful number, since it uses less digits than its factorization.

14120212597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113835 (or 113818 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 14120212597920 in words is "fourteen trillion, one hundred twenty billion, two hundred twelve million, five hundred ninety-seven thousand, nine hundred twenty".