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12520048103424 = 2123461432
BaseRepresentation
bin1011011000110000110100…
…0001010001000000000000
31122022220102200022222210000
42312030031001101000000
53120112024303302144
642343344121440000
72431354314654111
oct266141501210000
948286380288700
1012520048103424
113a977a4837114
1214a2576940000
136ca835188344
14313d8b64a208
1516aa1db22769
hexb630d051000

12520048103424 has 195 divisors, whose sum is σ = 37407099090823. Its totient is φ = 4172670001152.

The previous prime is 12520048103417. The next prime is 12520048103461. The reversal of 12520048103424 is 42430184002521.

The square root of 12520048103424 is 3538368.

It is a perfect power (a square), and thus also a powerful number.

12520048103424 is a `hidden beast` number, since 1 + 2 + 520 + 0 + 4 + 8 + 103 + 4 + 24 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2038096897 + ... + 2038103039.

Almost surely, 212520048103424 is an apocalyptic number.

12520048103424 is the 3538368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12520048103424

12520048103424 is an abundant number, since it is smaller than the sum of its proper divisors (24887050987399).

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

12520048103424 is an frugal number, since it uses more digits than its factorization.

12520048103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 12520048103424 by its sum of digits (36), we get a square (450721731723264 = 212302082).

12520048103424 divided by its sum of digits (36) gives a square (347779113984 = 5897282).

The spelling of 12520048103424 in words is "twelve trillion, five hundred twenty billion, forty-eight million, one hundred three thousand, four hundred twenty-four".