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12220020012096 = 26321317919514673
BaseRepresentation
bin1011000111010011000111…
…1100111011010001000000
31121021020000012112202222100
42301310301330323101000
53100203100110341341
641553444422310400
72400603326162511
oct261646174732100
947236005482870
1012220020012096
1139915327a3446
1214543a3b88400
136a845c5a2460
143036488b4a08
15162d0dc653b6
hexb1d31f3b440

12220020012096 has 336 divisors, whose sum is σ = 37959119976960. Its totient is φ = 3736284364800.

The previous prime is 12220020011971. The next prime is 12220020012103. The reversal of 12220020012096 is 69021002002221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2615024416 + ... + 2615029088.

It is an arithmetic number, because the mean of its divisors is an integer number (112973571360).

Almost surely, 212220020012096 is an apocalyptic number.

12220020012096 is a gapful number since it is divisible by the number (16) 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 12220020012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18979559988480).

12220020012096 is an abundant number, since it is smaller than the sum of its proper divisors (25739099964864).

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

12220020012096 is a wasteful number, since it uses less digits than its factorization.

12220020012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12220020012096 in words is "twelve trillion, two hundred twenty billion, twenty million, twelve thousand, ninety-six".