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12232691978100 = 223521122916579769
BaseRepresentation
bin1011001000000010010101…
…0000101000111101110100
31121022102201100002100101120
42302000211100220331310
53100410023121244400
642003342054423540
72401532340131016
oct262004520507564
947272640070346
1012232691978100
113996945797020
12145693b961bb0
136a96cba0c1a9
143040cb8501b6
151633014bbca0
hexb2025428f74

12232691978100 has 288 divisors, whose sum is σ = 38806805788800. Its totient is φ = 2950467379200.

The previous prime is 12232691978093. The next prime is 12232691978141. The reversal of 12232691978100 is 187919623221.

It is a super-2 number, since 2×122326919781002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1252190016 + ... + 1252199784.

Almost surely, 212232691978100 is an apocalyptic number.

12232691978100 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 12232691978100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403402894400).

12232691978100 is an abundant number, since it is smaller than the sum of its proper divisors (26574113810700).

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

12232691978100 is a wasteful number, since it uses less digits than its factorization.

12232691978100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11683 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 12232691978100 in words is "twelve trillion, two hundred thirty-two billion, six hundred ninety-one million, nine hundred seventy-eight thousand, one hundred".